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Finding the Fourth Proportional to 9,843.20, 13,583.14 and 5,476.79

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Solution

The fourth proportional to 9,843.20, 13,583.14 and 5,476.79 is: 7,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.20 : 13,583.14 = 5,476.79 : x
  2. Step 2: Convert to fraction form
    9,843.20/13,583.14 = 5,476.79/x
  3. Step 3: Cross multiply
    9,843.20x = 13,583.14 × 5,476.79
  4. Step 4: Simplify right side
    9,843.20x = 74,391,937.40
  5. Step 5: Solve for x
    x = 74,391,937.40/9,843.20
  6. Step 6: Final answer
    x = 7,557.70

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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.