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Finding the Fourth Proportional to 7,191.98, 10,770.96 and 4,587.02

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Solution

The fourth proportional to 7,191.98, 10,770.96 and 4,587.02 is: 6,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.98 : 10,770.96 = 4,587.02 : x
  2. Step 2: Convert to fraction form
    7,191.98/10,770.96 = 4,587.02/x
  3. Step 3: Cross multiply
    7,191.98x = 10,770.96 × 4,587.02
  4. Step 4: Simplify right side
    7,191.98x = 49,406,608.94
  5. Step 5: Solve for x
    x = 49,406,608.94/7,191.98
  6. Step 6: Final answer
    x = 6,869.68

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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.