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Finding the Fourth Proportional to 10,652.86, 14,701.02 and 5,937.44

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Solution

The fourth proportional to 10,652.86, 14,701.02 and 5,937.44 is: 8,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.86 : 14,701.02 = 5,937.44 : x
  2. Step 2: Convert to fraction form
    10,652.86/14,701.02 = 5,937.44/x
  3. Step 3: Cross multiply
    10,652.86x = 14,701.02 × 5,937.44
  4. Step 4: Simplify right side
    10,652.86x = 87,286,460.94
  5. Step 5: Solve for x
    x = 87,286,460.94/10,652.86
  6. Step 6: Final answer
    x = 8,193.71

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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.