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Finding the Fourth Proportional to 12,742.75, 17,585.90 and 7,153.75

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Solution

The fourth proportional to 12,742.75, 17,585.90 and 7,153.75 is: 9,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.75 : 17,585.90 = 7,153.75 : x
  2. Step 2: Convert to fraction form
    12,742.75/17,585.90 = 7,153.75/x
  3. Step 3: Cross multiply
    12,742.75x = 17,585.90 × 7,153.75
  4. Step 4: Simplify right side
    12,742.75x = 125,805,132.13
  5. Step 5: Solve for x
    x = 125,805,132.13/12,742.75
  6. Step 6: Final answer
    x = 9,872.68

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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.