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Finding the Fourth Proportional to 9,612.80, 14,419.20 and 6,502.40

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Solution

The fourth proportional to 9,612.80, 14,419.20 and 6,502.40 is: 9,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.80 : 14,419.20 = 6,502.40 : x
  2. Step 2: Convert to fraction form
    9,612.80/14,419.20 = 6,502.40/x
  3. Step 3: Cross multiply
    9,612.80x = 14,419.20 × 6,502.40
  4. Step 4: Simplify right side
    9,612.80x = 93,759,406.08
  5. Step 5: Solve for x
    x = 93,759,406.08/9,612.80
  6. Step 6: Final answer
    x = 9,753.60

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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.