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Finding the Fourth Proportional to 9,101.96, 13,652.94 and 2,528.20

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Solution

The fourth proportional to 9,101.96, 13,652.94 and 2,528.20 is: 3,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.96 : 13,652.94 = 2,528.20 : x
  2. Step 2: Convert to fraction form
    9,101.96/13,652.94 = 2,528.20/x
  3. Step 3: Cross multiply
    9,101.96x = 13,652.94 × 2,528.20
  4. Step 4: Simplify right side
    9,101.96x = 34,517,362.91
  5. Step 5: Solve for x
    x = 34,517,362.91/9,101.96
  6. Step 6: Final answer
    x = 3,792.30

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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.