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Finding the Fourth Proportional to 9,406.52, 12,974.10 and 6,756.65

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Solution

The fourth proportional to 9,406.52, 12,974.10 and 6,756.65 is: 9,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.52 : 12,974.10 = 6,756.65 : x
  2. Step 2: Convert to fraction form
    9,406.52/12,974.10 = 6,756.65/x
  3. Step 3: Cross multiply
    9,406.52x = 12,974.10 × 6,756.65
  4. Step 4: Simplify right side
    9,406.52x = 87,661,452.77
  5. Step 5: Solve for x
    x = 87,661,452.77/9,406.52
  6. Step 6: Final answer
    x = 9,319.22

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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.