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Finding the Fourth Proportional to 7,092.52, 9,786.54 and 3,948.64

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Solution

The fourth proportional to 7,092.52, 9,786.54 and 3,948.64 is: 5,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.52 : 9,786.54 = 3,948.64 : x
  2. Step 2: Convert to fraction form
    7,092.52/9,786.54 = 3,948.64/x
  3. Step 3: Cross multiply
    7,092.52x = 9,786.54 × 3,948.64
  4. Step 4: Simplify right side
    7,092.52x = 38,643,523.31
  5. Step 5: Solve for x
    x = 38,643,523.31/7,092.52
  6. Step 6: Final answer
    x = 5,448.49

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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.