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Finding the Fourth Proportional to 7,140.66, 9,853.80 and 3,954.24

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Solution

The fourth proportional to 7,140.66, 9,853.80 and 3,954.24 is: 5,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.66 : 9,853.80 = 3,954.24 : x
  2. Step 2: Convert to fraction form
    7,140.66/9,853.80 = 3,954.24/x
  3. Step 3: Cross multiply
    7,140.66x = 9,853.80 × 3,954.24
  4. Step 4: Simplify right side
    7,140.66x = 38,964,290.11
  5. Step 5: Solve for x
    x = 38,964,290.11/7,140.66
  6. Step 6: Final answer
    x = 5,456.68

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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.