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Finding the Fourth Proportional to 9,151.17, 13,719.84 and 7,301.27

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Solution

The fourth proportional to 9,151.17, 13,719.84 and 7,301.27 is: 10,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.17 : 13,719.84 = 7,301.27 : x
  2. Step 2: Convert to fraction form
    9,151.17/13,719.84 = 7,301.27/x
  3. Step 3: Cross multiply
    9,151.17x = 13,719.84 × 7,301.27
  4. Step 4: Simplify right side
    9,151.17x = 100,172,187.60
  5. Step 5: Solve for x
    x = 100,172,187.60/9,151.17
  6. Step 6: Final answer
    x = 10,946.38

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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.