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Finding the Fourth Proportional to 9,101.71, 13,652.57 and 2,527.90

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Solution

The fourth proportional to 9,101.71, 13,652.57 and 2,527.90 is: 3,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.71 : 13,652.57 = 2,527.90 : x
  2. Step 2: Convert to fraction form
    9,101.71/13,652.57 = 2,527.90/x
  3. Step 3: Cross multiply
    9,101.71x = 13,652.57 × 2,527.90
  4. Step 4: Simplify right side
    9,101.71x = 34,512,303.89
  5. Step 5: Solve for x
    x = 34,512,303.89/9,101.71
  6. Step 6: Final answer
    x = 3,791.85

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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.