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Finding the Fourth Proportional to 6,297.88, 9,438.30 and 2,400.16

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Solution

The fourth proportional to 6,297.88, 9,438.30 and 2,400.16 is: 3,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.88 : 9,438.30 = 2,400.16 : x
  2. Step 2: Convert to fraction form
    6,297.88/9,438.30 = 2,400.16/x
  3. Step 3: Cross multiply
    6,297.88x = 9,438.30 × 2,400.16
  4. Step 4: Simplify right side
    6,297.88x = 22,653,430.13
  5. Step 5: Solve for x
    x = 22,653,430.13/6,297.88
  6. Step 6: Final answer
    x = 3,596.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.