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Finding the Fourth Proportional to 6,479.66, 9,723.78 and 3,560

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Solution

The fourth proportional to 6,479.66, 9,723.78 and 3,560 is: 5,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.66 : 9,723.78 = 3,560 : x
  2. Step 2: Convert to fraction form
    6,479.66/9,723.78 = 3,560/x
  3. Step 3: Cross multiply
    6,479.66x = 9,723.78 × 3,560
  4. Step 4: Simplify right side
    6,479.66x = 34,616,656.80
  5. Step 5: Solve for x
    x = 34,616,656.80/6,479.66
  6. Step 6: Final answer
    x = 5,342.36

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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.