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Finding the Fourth Proportional to 10,752.48, 14,839.74 and 6,773.76

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Solution

The fourth proportional to 10,752.48, 14,839.74 and 6,773.76 is: 9,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.48 : 14,839.74 = 6,773.76 : x
  2. Step 2: Convert to fraction form
    10,752.48/14,839.74 = 6,773.76/x
  3. Step 3: Cross multiply
    10,752.48x = 14,839.74 × 6,773.76
  4. Step 4: Simplify right side
    10,752.48x = 100,520,837.22
  5. Step 5: Solve for x
    x = 100,520,837.22/10,752.48
  6. Step 6: Final answer
    x = 9,348.62

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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.