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Finding the Fourth Proportional to 6,592.68, 9,889.02 and 2,695.50

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Solution

The fourth proportional to 6,592.68, 9,889.02 and 2,695.50 is: 4,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.68 : 9,889.02 = 2,695.50 : x
  2. Step 2: Convert to fraction form
    6,592.68/9,889.02 = 2,695.50/x
  3. Step 3: Cross multiply
    6,592.68x = 9,889.02 × 2,695.50
  4. Step 4: Simplify right side
    6,592.68x = 26,655,853.41
  5. Step 5: Solve for x
    x = 26,655,853.41/6,592.68
  6. Step 6: Final answer
    x = 4,043.25

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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.