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Finding the Fourth Proportional to 8,290.40, 11,442 and 6,297.68

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Solution

The fourth proportional to 8,290.40, 11,442 and 6,297.68 is: 8,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.40 : 11,442 = 6,297.68 : x
  2. Step 2: Convert to fraction form
    8,290.40/11,442 = 6,297.68/x
  3. Step 3: Cross multiply
    8,290.40x = 11,442 × 6,297.68
  4. Step 4: Simplify right side
    8,290.40x = 72,058,054.56
  5. Step 5: Solve for x
    x = 72,058,054.56/8,290.40
  6. Step 6: Final answer
    x = 8,691.75

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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.