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Finding the Fourth Proportional to 10,472.22, 14,440.95 and 6,934.14

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Solution

The fourth proportional to 10,472.22, 14,440.95 and 6,934.14 is: 9,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.22 : 14,440.95 = 6,934.14 : x
  2. Step 2: Convert to fraction form
    10,472.22/14,440.95 = 6,934.14/x
  3. Step 3: Cross multiply
    10,472.22x = 14,440.95 × 6,934.14
  4. Step 4: Simplify right side
    10,472.22x = 100,135,569.03
  5. Step 5: Solve for x
    x = 100,135,569.03/10,472.22
  6. Step 6: Final answer
    x = 9,562.02

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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.