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Finding the Fourth Proportional to 6,475.68, 9,713.76 and 2,775

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Solution

The fourth proportional to 6,475.68, 9,713.76 and 2,775 is: 4,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.68 : 9,713.76 = 2,775 : x
  2. Step 2: Convert to fraction form
    6,475.68/9,713.76 = 2,775/x
  3. Step 3: Cross multiply
    6,475.68x = 9,713.76 × 2,775
  4. Step 4: Simplify right side
    6,475.68x = 26,955,684
  5. Step 5: Solve for x
    x = 26,955,684/6,475.68
  6. Step 6: Final answer
    x = 4,162.60

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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.