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Finding the Fourth Proportional to 9,764.79, 13,472.24 and 6,229.14

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Solution

The fourth proportional to 9,764.79, 13,472.24 and 6,229.14 is: 8,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.79 : 13,472.24 = 6,229.14 : x
  2. Step 2: Convert to fraction form
    9,764.79/13,472.24 = 6,229.14/x
  3. Step 3: Cross multiply
    9,764.79x = 13,472.24 × 6,229.14
  4. Step 4: Simplify right side
    9,764.79x = 83,920,437.93
  5. Step 5: Solve for x
    x = 83,920,437.93/9,764.79
  6. Step 6: Final answer
    x = 8,594.19

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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.