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Finding the Fourth Proportional to 9,722.92, 14,508.50 and 8,675.71

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Solution

The fourth proportional to 9,722.92, 14,508.50 and 8,675.71 is: 12,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.92 : 14,508.50 = 8,675.71 : x
  2. Step 2: Convert to fraction form
    9,722.92/14,508.50 = 8,675.71/x
  3. Step 3: Cross multiply
    9,722.92x = 14,508.50 × 8,675.71
  4. Step 4: Simplify right side
    9,722.92x = 125,871,538.54
  5. Step 5: Solve for x
    x = 125,871,538.54/9,722.92
  6. Step 6: Final answer
    x = 12,945.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.