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Finding the Fourth Proportional to 6,588.28, 9,883.62 and 3,125.50

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Solution

The fourth proportional to 6,588.28, 9,883.62 and 3,125.50 is: 4,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.28 : 9,883.62 = 3,125.50 : x
  2. Step 2: Convert to fraction form
    6,588.28/9,883.62 = 3,125.50/x
  3. Step 3: Cross multiply
    6,588.28x = 9,883.62 × 3,125.50
  4. Step 4: Simplify right side
    6,588.28x = 30,891,254.31
  5. Step 5: Solve for x
    x = 30,891,254.31/6,588.28
  6. Step 6: Final answer
    x = 4,688.82

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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.