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Finding the Fourth Proportional to 9,261, 13,897.17 and 3,713.76

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Solution

The fourth proportional to 9,261, 13,897.17 and 3,713.76 is: 5,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261 : 13,897.17 = 3,713.76 : x
  2. Step 2: Convert to fraction form
    9,261/13,897.17 = 3,713.76/x
  3. Step 3: Cross multiply
    9,261x = 13,897.17 × 3,713.76
  4. Step 4: Simplify right side
    9,261x = 51,610,754.06
  5. Step 5: Solve for x
    x = 51,610,754.06/9,261
  6. Step 6: Final answer
    x = 5,572.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.