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Finding the Fourth Proportional to 5,000.10, 7,500.15 and 4,967.70

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Solution

The fourth proportional to 5,000.10, 7,500.15 and 4,967.70 is: 7,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.10 : 7,500.15 = 4,967.70 : x
  2. Step 2: Convert to fraction form
    5,000.10/7,500.15 = 4,967.70/x
  3. Step 3: Cross multiply
    5,000.10x = 7,500.15 × 4,967.70
  4. Step 4: Simplify right side
    5,000.10x = 37,258,495.16
  5. Step 5: Solve for x
    x = 37,258,495.16/5,000.10
  6. Step 6: Final answer
    x = 7,451.55

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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.