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Finding the Fourth Proportional to 9,472.76, 13,073.67 and 5,493.05

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Solution

The fourth proportional to 9,472.76, 13,073.67 and 5,493.05 is: 7,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.76 : 13,073.67 = 5,493.05 : x
  2. Step 2: Convert to fraction form
    9,472.76/13,073.67 = 5,493.05/x
  3. Step 3: Cross multiply
    9,472.76x = 13,073.67 × 5,493.05
  4. Step 4: Simplify right side
    9,472.76x = 71,814,295.53
  5. Step 5: Solve for x
    x = 71,814,295.53/9,472.76
  6. Step 6: Final answer
    x = 7,581.14

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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.