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Finding the Fourth Proportional to 9,400.80, 12,973.10 and 5,624.13

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Solution

The fourth proportional to 9,400.80, 12,973.10 and 5,624.13 is: 7,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.80 : 12,973.10 = 5,624.13 : x
  2. Step 2: Convert to fraction form
    9,400.80/12,973.10 = 5,624.13/x
  3. Step 3: Cross multiply
    9,400.80x = 12,973.10 × 5,624.13
  4. Step 4: Simplify right side
    9,400.80x = 72,962,336.04
  5. Step 5: Solve for x
    x = 72,962,336.04/9,400.80
  6. Step 6: Final answer
    x = 7,761.29

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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.