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Finding the Fourth Proportional to 6,087.50, 9,146.64 and 5,841.46

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Solution

The fourth proportional to 6,087.50, 9,146.64 and 5,841.46 is: 8,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.50 : 9,146.64 = 5,841.46 : x
  2. Step 2: Convert to fraction form
    6,087.50/9,146.64 = 5,841.46/x
  3. Step 3: Cross multiply
    6,087.50x = 9,146.64 × 5,841.46
  4. Step 4: Simplify right side
    6,087.50x = 53,429,731.69
  5. Step 5: Solve for x
    x = 53,429,731.69/6,087.50
  6. Step 6: Final answer
    x = 8,776.96

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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.