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Finding the Fourth Proportional to 11,509.52, 15,883.97 and 7,034.13

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Solution

The fourth proportional to 11,509.52, 15,883.97 and 7,034.13 is: 9,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.52 : 15,883.97 = 7,034.13 : x
  2. Step 2: Convert to fraction form
    11,509.52/15,883.97 = 7,034.13/x
  3. Step 3: Cross multiply
    11,509.52x = 15,883.97 × 7,034.13
  4. Step 4: Simplify right side
    11,509.52x = 111,729,874.73
  5. Step 5: Solve for x
    x = 111,729,874.73/11,509.52
  6. Step 6: Final answer
    x = 9,707.61

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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.