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Finding the Fourth Proportional to 9,125.76, 13,686.12 and 2,551.44

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Solution

The fourth proportional to 9,125.76, 13,686.12 and 2,551.44 is: 3,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.76 : 13,686.12 = 2,551.44 : x
  2. Step 2: Convert to fraction form
    9,125.76/13,686.12 = 2,551.44/x
  3. Step 3: Cross multiply
    9,125.76x = 13,686.12 × 2,551.44
  4. Step 4: Simplify right side
    9,125.76x = 34,919,314.01
  5. Step 5: Solve for x
    x = 34,919,314.01/9,125.76
  6. Step 6: Final answer
    x = 3,826.46

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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.