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Finding the Fourth Proportional to 6,386.50, 9,561.30 and 5,719.60

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Solution

The fourth proportional to 6,386.50, 9,561.30 and 5,719.60 is: 8,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.50 : 9,561.30 = 5,719.60 : x
  2. Step 2: Convert to fraction form
    6,386.50/9,561.30 = 5,719.60/x
  3. Step 3: Cross multiply
    6,386.50x = 9,561.30 × 5,719.60
  4. Step 4: Simplify right side
    6,386.50x = 54,686,811.48
  5. Step 5: Solve for x
    x = 54,686,811.48/6,386.50
  6. Step 6: Final answer
    x = 8,562.88

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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.