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Finding the Fourth Proportional to 5,312.60, 7,967.83 and 5,049.15

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Solution

The fourth proportional to 5,312.60, 7,967.83 and 5,049.15 is: 7,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.60 : 7,967.83 = 5,049.15 : x
  2. Step 2: Convert to fraction form
    5,312.60/7,967.83 = 5,049.15/x
  3. Step 3: Cross multiply
    5,312.60x = 7,967.83 × 5,049.15
  4. Step 4: Simplify right side
    5,312.60x = 40,230,768.84
  5. Step 5: Solve for x
    x = 40,230,768.84/5,312.60
  6. Step 6: Final answer
    x = 7,572.71

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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.