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Finding the Fourth Proportional to 7,652.44, 11,480.70 and 6,098.32

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Solution

The fourth proportional to 7,652.44, 11,480.70 and 6,098.32 is: 9,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.44 : 11,480.70 = 6,098.32 : x
  2. Step 2: Convert to fraction form
    7,652.44/11,480.70 = 6,098.32/x
  3. Step 3: Cross multiply
    7,652.44x = 11,480.70 × 6,098.32
  4. Step 4: Simplify right side
    7,652.44x = 70,013,019.64
  5. Step 5: Solve for x
    x = 70,013,019.64/7,652.44
  6. Step 6: Final answer
    x = 9,149.11

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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.