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Finding the Fourth Proportional to 9,600.71, 14,403.02 and 5,442.57

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Solution

The fourth proportional to 9,600.71, 14,403.02 and 5,442.57 is: 8,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.71 : 14,403.02 = 5,442.57 : x
  2. Step 2: Convert to fraction form
    9,600.71/14,403.02 = 5,442.57/x
  3. Step 3: Cross multiply
    9,600.71x = 14,403.02 × 5,442.57
  4. Step 4: Simplify right side
    9,600.71x = 78,389,417.35
  5. Step 5: Solve for x
    x = 78,389,417.35/9,600.71
  6. Step 6: Final answer
    x = 8,164.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.