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Finding the Fourth Proportional to 9,042.16, 12,473.16 and 6,357.48

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Solution

The fourth proportional to 9,042.16, 12,473.16 and 6,357.48 is: 8,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.16 : 12,473.16 = 6,357.48 : x
  2. Step 2: Convert to fraction form
    9,042.16/12,473.16 = 6,357.48/x
  3. Step 3: Cross multiply
    9,042.16x = 12,473.16 × 6,357.48
  4. Step 4: Simplify right side
    9,042.16x = 79,297,865.24
  5. Step 5: Solve for x
    x = 79,297,865.24/9,042.16
  6. Step 6: Final answer
    x = 8,769.79

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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.