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Finding the Fourth Proportional to 7,177.96, 10,769.10 and 3,482.20

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Solution

The fourth proportional to 7,177.96, 10,769.10 and 3,482.20 is: 5,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.96 : 10,769.10 = 3,482.20 : x
  2. Step 2: Convert to fraction form
    7,177.96/10,769.10 = 3,482.20/x
  3. Step 3: Cross multiply
    7,177.96x = 10,769.10 × 3,482.20
  4. Step 4: Simplify right side
    7,177.96x = 37,500,160.02
  5. Step 5: Solve for x
    x = 37,500,160.02/7,177.96
  6. Step 6: Final answer
    x = 5,224.35

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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.