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Finding the Fourth Proportional to 9,101.47, 13,652.21 and 2,527.71

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Solution

The fourth proportional to 9,101.47, 13,652.21 and 2,527.71 is: 3,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.47 : 13,652.21 = 2,527.71 : x
  2. Step 2: Convert to fraction form
    9,101.47/13,652.21 = 2,527.71/x
  3. Step 3: Cross multiply
    9,101.47x = 13,652.21 × 2,527.71
  4. Step 4: Simplify right side
    9,101.47x = 34,508,827.74
  5. Step 5: Solve for x
    x = 34,508,827.74/9,101.47
  6. Step 6: Final answer
    x = 3,791.57

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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.