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Finding the Fourth Proportional to 9,472.80, 13,073.40 and 7,078.62

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Solution

The fourth proportional to 9,472.80, 13,073.40 and 7,078.62 is: 9,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.80 : 13,073.40 = 7,078.62 : x
  2. Step 2: Convert to fraction form
    9,472.80/13,073.40 = 7,078.62/x
  3. Step 3: Cross multiply
    9,472.80x = 13,073.40 × 7,078.62
  4. Step 4: Simplify right side
    9,472.80x = 92,541,630.71
  5. Step 5: Solve for x
    x = 92,541,630.71/9,472.80
  6. Step 6: Final answer
    x = 9,769.20

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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.