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Finding the Fourth Proportional to 9,782.80, 14,674.20 and 9,588.40

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Solution

The fourth proportional to 9,782.80, 14,674.20 and 9,588.40 is: 14,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.80 : 14,674.20 = 9,588.40 : x
  2. Step 2: Convert to fraction form
    9,782.80/14,674.20 = 9,588.40/x
  3. Step 3: Cross multiply
    9,782.80x = 14,674.20 × 9,588.40
  4. Step 4: Simplify right side
    9,782.80x = 140,702,099.28
  5. Step 5: Solve for x
    x = 140,702,099.28/9,782.80
  6. Step 6: Final answer
    x = 14,382.60

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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.