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Finding the Fourth Proportional to 9,282.88, 12,815.04 and 6,054.16

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Solution

The fourth proportional to 9,282.88, 12,815.04 and 6,054.16 is: 8,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.88 : 12,815.04 = 6,054.16 : x
  2. Step 2: Convert to fraction form
    9,282.88/12,815.04 = 6,054.16/x
  3. Step 3: Cross multiply
    9,282.88x = 12,815.04 × 6,054.16
  4. Step 4: Simplify right side
    9,282.88x = 77,584,302.57
  5. Step 5: Solve for x
    x = 77,584,302.57/9,282.88
  6. Step 6: Final answer
    x = 8,357.78

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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.