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Finding the Fourth Proportional to 9,298.58, 12,837.04 and 7,169.43

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Solution

The fourth proportional to 9,298.58, 12,837.04 and 7,169.43 is: 9,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.58 : 12,837.04 = 7,169.43 : x
  2. Step 2: Convert to fraction form
    9,298.58/12,837.04 = 7,169.43/x
  3. Step 3: Cross multiply
    9,298.58x = 12,837.04 × 7,169.43
  4. Step 4: Simplify right side
    9,298.58x = 92,034,289.90
  5. Step 5: Solve for x
    x = 92,034,289.90/9,298.58
  6. Step 6: Final answer
    x = 9,897.68

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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.