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Finding the Fourth Proportional to 9,297.78, 13,922.88 and 5,133.16

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Solution

The fourth proportional to 9,297.78, 13,922.88 and 5,133.16 is: 7,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.78 : 13,922.88 = 5,133.16 : x
  2. Step 2: Convert to fraction form
    9,297.78/13,922.88 = 5,133.16/x
  3. Step 3: Cross multiply
    9,297.78x = 13,922.88 × 5,133.16
  4. Step 4: Simplify right side
    9,297.78x = 71,468,370.70
  5. Step 5: Solve for x
    x = 71,468,370.70/9,297.78
  6. Step 6: Final answer
    x = 7,686.61

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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.