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Finding the Fourth Proportional to 7,101.80, 10,652.70 and 4,516.20

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Solution

The fourth proportional to 7,101.80, 10,652.70 and 4,516.20 is: 6,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.80 : 10,652.70 = 4,516.20 : x
  2. Step 2: Convert to fraction form
    7,101.80/10,652.70 = 4,516.20/x
  3. Step 3: Cross multiply
    7,101.80x = 10,652.70 × 4,516.20
  4. Step 4: Simplify right side
    7,101.80x = 48,109,723.74
  5. Step 5: Solve for x
    x = 48,109,723.74/7,101.80
  6. Step 6: Final answer
    x = 6,774.30

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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.