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Finding the Fourth Proportional to 7,010.96, 9,676.14 and 6,418.04

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Solution

The fourth proportional to 7,010.96, 9,676.14 and 6,418.04 is: 8,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.96 : 9,676.14 = 6,418.04 : x
  2. Step 2: Convert to fraction form
    7,010.96/9,676.14 = 6,418.04/x
  3. Step 3: Cross multiply
    7,010.96x = 9,676.14 × 6,418.04
  4. Step 4: Simplify right side
    7,010.96x = 62,101,853.57
  5. Step 5: Solve for x
    x = 62,101,853.57/7,010.96
  6. Step 6: Final answer
    x = 8,857.82

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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.