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Finding the Fourth Proportional to 9,447.71, 13,040.19 and 5,471.42

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Solution

The fourth proportional to 9,447.71, 13,040.19 and 5,471.42 is: 7,551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.71 : 13,040.19 = 5,471.42 : x
  2. Step 2: Convert to fraction form
    9,447.71/13,040.19 = 5,471.42/x
  3. Step 3: Cross multiply
    9,447.71x = 13,040.19 × 5,471.42
  4. Step 4: Simplify right side
    9,447.71x = 71,348,291.17
  5. Step 5: Solve for x
    x = 71,348,291.17/9,447.71
  6. Step 6: Final answer
    x = 7,551.92

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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.