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Finding the Fourth Proportional to 6,297.91, 9,400.16 and 5,559.79

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Solution

The fourth proportional to 6,297.91, 9,400.16 and 5,559.79 is: 8,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.91 : 9,400.16 = 5,559.79 : x
  2. Step 2: Convert to fraction form
    6,297.91/9,400.16 = 5,559.79/x
  3. Step 3: Cross multiply
    6,297.91x = 9,400.16 × 5,559.79
  4. Step 4: Simplify right side
    6,297.91x = 52,262,915.57
  5. Step 5: Solve for x
    x = 52,262,915.57/6,297.91
  6. Step 6: Final answer
    x = 8,298.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.