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Finding the Fourth Proportional to 10,146.52, 14,007.26 and 6,375.16

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Solution

The fourth proportional to 10,146.52, 14,007.26 and 6,375.16 is: 8,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.52 : 14,007.26 = 6,375.16 : x
  2. Step 2: Convert to fraction form
    10,146.52/14,007.26 = 6,375.16/x
  3. Step 3: Cross multiply
    10,146.52x = 14,007.26 × 6,375.16
  4. Step 4: Simplify right side
    10,146.52x = 89,298,523.66
  5. Step 5: Solve for x
    x = 89,298,523.66/10,146.52
  6. Step 6: Final answer
    x = 8,800.90

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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.