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Finding the Fourth Proportional to 9,118.88, 12,584.07 and 4,927.14

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Solution

The fourth proportional to 9,118.88, 12,584.07 and 4,927.14 is: 6,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.88 : 12,584.07 = 4,927.14 : x
  2. Step 2: Convert to fraction form
    9,118.88/12,584.07 = 4,927.14/x
  3. Step 3: Cross multiply
    9,118.88x = 12,584.07 × 4,927.14
  4. Step 4: Simplify right side
    9,118.88x = 62,003,474.66
  5. Step 5: Solve for x
    x = 62,003,474.66/9,118.88
  6. Step 6: Final answer
    x = 6,799.46

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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.