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Finding the Fourth Proportional to 6,290.68, 9,437.50 and 6,186.20

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Solution

The fourth proportional to 6,290.68, 9,437.50 and 6,186.20 is: 9,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.68 : 9,437.50 = 6,186.20 : x
  2. Step 2: Convert to fraction form
    6,290.68/9,437.50 = 6,186.20/x
  3. Step 3: Cross multiply
    6,290.68x = 9,437.50 × 6,186.20
  4. Step 4: Simplify right side
    6,290.68x = 58,382,262.50
  5. Step 5: Solve for x
    x = 58,382,262.50/6,290.68
  6. Step 6: Final answer
    x = 9,280.76

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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.