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Finding the Fourth Proportional to 9,496.24, 13,097.34 and 8,859.63

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Solution

The fourth proportional to 9,496.24, 13,097.34 and 8,859.63 is: 12,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.24 : 13,097.34 = 8,859.63 : x
  2. Step 2: Convert to fraction form
    9,496.24/13,097.34 = 8,859.63/x
  3. Step 3: Cross multiply
    9,496.24x = 13,097.34 × 8,859.63
  4. Step 4: Simplify right side
    9,496.24x = 116,037,586.38
  5. Step 5: Solve for x
    x = 116,037,586.38/9,496.24
  6. Step 6: Final answer
    x = 12,219.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.