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Finding the Fourth Proportional to 7,186.53, 10,770.60 and 5,800.53

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Solution

The fourth proportional to 7,186.53, 10,770.60 and 5,800.53 is: 8,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.53 : 10,770.60 = 5,800.53 : x
  2. Step 2: Convert to fraction form
    7,186.53/10,770.60 = 5,800.53/x
  3. Step 3: Cross multiply
    7,186.53x = 10,770.60 × 5,800.53
  4. Step 4: Simplify right side
    7,186.53x = 62,475,188.42
  5. Step 5: Solve for x
    x = 62,475,188.42/7,186.53
  6. Step 6: Final answer
    x = 8,693.37

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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.