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Finding the Fourth Proportional to 5,099.68, 7,652.24 and 5,084.16

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Solution

The fourth proportional to 5,099.68, 7,652.24 and 5,084.16 is: 7,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.68 : 7,652.24 = 5,084.16 : x
  2. Step 2: Convert to fraction form
    5,099.68/7,652.24 = 5,084.16/x
  3. Step 3: Cross multiply
    5,099.68x = 7,652.24 × 5,084.16
  4. Step 4: Simplify right side
    5,099.68x = 38,905,212.52
  5. Step 5: Solve for x
    x = 38,905,212.52/5,099.68
  6. Step 6: Final answer
    x = 7,628.95

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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.