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Finding the Fourth Proportional to 6,844.74, 9,440.89 and 6,616.11

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Solution

The fourth proportional to 6,844.74, 9,440.89 and 6,616.11 is: 9,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.74 : 9,440.89 = 6,616.11 : x
  2. Step 2: Convert to fraction form
    6,844.74/9,440.89 = 6,616.11/x
  3. Step 3: Cross multiply
    6,844.74x = 9,440.89 × 6,616.11
  4. Step 4: Simplify right side
    6,844.74x = 62,461,985.60
  5. Step 5: Solve for x
    x = 62,461,985.60/6,844.74
  6. Step 6: Final answer
    x = 9,125.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.