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Finding the Fourth Proportional to 9,397.86, 12,955.65 and 6,744.42

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Solution

The fourth proportional to 9,397.86, 12,955.65 and 6,744.42 is: 9,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.86 : 12,955.65 = 6,744.42 : x
  2. Step 2: Convert to fraction form
    9,397.86/12,955.65 = 6,744.42/x
  3. Step 3: Cross multiply
    9,397.86x = 12,955.65 × 6,744.42
  4. Step 4: Simplify right side
    9,397.86x = 87,378,344.97
  5. Step 5: Solve for x
    x = 87,378,344.97/9,397.86
  6. Step 6: Final answer
    x = 9,297.69

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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.