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Finding the Fourth Proportional to 11,507.74, 15,881.07 and 6,791.92

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Solution

The fourth proportional to 11,507.74, 15,881.07 and 6,791.92 is: 9,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.74 : 15,881.07 = 6,791.92 : x
  2. Step 2: Convert to fraction form
    11,507.74/15,881.07 = 6,791.92/x
  3. Step 3: Cross multiply
    11,507.74x = 15,881.07 × 6,791.92
  4. Step 4: Simplify right side
    11,507.74x = 107,862,956.95
  5. Step 5: Solve for x
    x = 107,862,956.95/11,507.74
  6. Step 6: Final answer
    x = 9,373.08

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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.