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Finding the Fourth Proportional to 9,701.71, 13,393.82 and 6,347.97

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Solution

The fourth proportional to 9,701.71, 13,393.82 and 6,347.97 is: 8,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.71 : 13,393.82 = 6,347.97 : x
  2. Step 2: Convert to fraction form
    9,701.71/13,393.82 = 6,347.97/x
  3. Step 3: Cross multiply
    9,701.71x = 13,393.82 × 6,347.97
  4. Step 4: Simplify right side
    9,701.71x = 85,023,583.42
  5. Step 5: Solve for x
    x = 85,023,583.42/9,701.71
  6. Step 6: Final answer
    x = 8,763.78

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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.