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Finding the Fourth Proportional to 9,695.29, 13,367.06 and 6,332.78

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Solution

The fourth proportional to 9,695.29, 13,367.06 and 6,332.78 is: 8,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.29 : 13,367.06 = 6,332.78 : x
  2. Step 2: Convert to fraction form
    9,695.29/13,367.06 = 6,332.78/x
  3. Step 3: Cross multiply
    9,695.29x = 13,367.06 × 6,332.78
  4. Step 4: Simplify right side
    9,695.29x = 84,650,551.73
  5. Step 5: Solve for x
    x = 84,650,551.73/9,695.29
  6. Step 6: Final answer
    x = 8,731.10

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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.