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Finding the Fourth Proportional to 9,532.99, 14,299.74 and 8,137.51

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Solution

The fourth proportional to 9,532.99, 14,299.74 and 8,137.51 is: 12,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.99 : 14,299.74 = 8,137.51 : x
  2. Step 2: Convert to fraction form
    9,532.99/14,299.74 = 8,137.51/x
  3. Step 3: Cross multiply
    9,532.99x = 14,299.74 × 8,137.51
  4. Step 4: Simplify right side
    9,532.99x = 116,364,321.93
  5. Step 5: Solve for x
    x = 116,364,321.93/9,532.99
  6. Step 6: Final answer
    x = 12,206.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.