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Finding the Fourth Proportional to 9,523.71, 14,254.52 and 8,614.35

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Solution

The fourth proportional to 9,523.71, 14,254.52 and 8,614.35 is: 12,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.71 : 14,254.52 = 8,614.35 : x
  2. Step 2: Convert to fraction form
    9,523.71/14,254.52 = 8,614.35/x
  3. Step 3: Cross multiply
    9,523.71x = 14,254.52 × 8,614.35
  4. Step 4: Simplify right side
    9,523.71x = 122,793,381.29
  5. Step 5: Solve for x
    x = 122,793,381.29/9,523.71
  6. Step 6: Final answer
    x = 12,893.44

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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.