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Finding the Fourth Proportional to 9,326.28, 12,866.22 and 5,346.48

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Solution

The fourth proportional to 9,326.28, 12,866.22 and 5,346.48 is: 7,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.28 : 12,866.22 = 5,346.48 : x
  2. Step 2: Convert to fraction form
    9,326.28/12,866.22 = 5,346.48/x
  3. Step 3: Cross multiply
    9,326.28x = 12,866.22 × 5,346.48
  4. Step 4: Simplify right side
    9,326.28x = 68,788,987.91
  5. Step 5: Solve for x
    x = 68,788,987.91/9,326.28
  6. Step 6: Final answer
    x = 7,375.82

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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.