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Finding the Fourth Proportional to 12,740.88, 17,584.10 and 7,151.88

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Solution

The fourth proportional to 12,740.88, 17,584.10 and 7,151.88 is: 9,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.88 : 17,584.10 = 7,151.88 : x
  2. Step 2: Convert to fraction form
    12,740.88/17,584.10 = 7,151.88/x
  3. Step 3: Cross multiply
    12,740.88x = 17,584.10 × 7,151.88
  4. Step 4: Simplify right side
    12,740.88x = 125,759,373.11
  5. Step 5: Solve for x
    x = 125,759,373.11/12,740.88
  6. Step 6: Final answer
    x = 9,870.54

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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.