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Finding the Fourth Proportional to 10,612.76, 14,652.24 and 6,837.80

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Solution

The fourth proportional to 10,612.76, 14,652.24 and 6,837.80 is: 9,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.76 : 14,652.24 = 6,837.80 : x
  2. Step 2: Convert to fraction form
    10,612.76/14,652.24 = 6,837.80/x
  3. Step 3: Cross multiply
    10,612.76x = 14,652.24 × 6,837.80
  4. Step 4: Simplify right side
    10,612.76x = 100,189,086.67
  5. Step 5: Solve for x
    x = 100,189,086.67/10,612.76
  6. Step 6: Final answer
    x = 9,440.44

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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.