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Finding the Fourth Proportional to 10,489.44, 14,474.88 and 5,773.44

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Solution

The fourth proportional to 10,489.44, 14,474.88 and 5,773.44 is: 7,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.44 : 14,474.88 = 5,773.44 : x
  2. Step 2: Convert to fraction form
    10,489.44/14,474.88 = 5,773.44/x
  3. Step 3: Cross multiply
    10,489.44x = 14,474.88 × 5,773.44
  4. Step 4: Simplify right side
    10,489.44x = 83,569,851.19
  5. Step 5: Solve for x
    x = 83,569,851.19/10,489.44
  6. Step 6: Final answer
    x = 7,967.05

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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.