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Finding the Fourth Proportional to 10,616.50, 15,924.75 and 3,691

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Solution

The fourth proportional to 10,616.50, 15,924.75 and 3,691 is: 5,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.50 : 15,924.75 = 3,691 : x
  2. Step 2: Convert to fraction form
    10,616.50/15,924.75 = 3,691/x
  3. Step 3: Cross multiply
    10,616.50x = 15,924.75 × 3,691
  4. Step 4: Simplify right side
    10,616.50x = 58,778,252.25
  5. Step 5: Solve for x
    x = 58,778,252.25/10,616.50
  6. Step 6: Final answer
    x = 5,536.50

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1.5x scale

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.