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Finding the Fourth Proportional to 9,307.68, 13,965.84 and 5,843.04

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Solution

The fourth proportional to 9,307.68, 13,965.84 and 5,843.04 is: 8,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.68 : 13,965.84 = 5,843.04 : x
  2. Step 2: Convert to fraction form
    9,307.68/13,965.84 = 5,843.04/x
  3. Step 3: Cross multiply
    9,307.68x = 13,965.84 × 5,843.04
  4. Step 4: Simplify right side
    9,307.68x = 81,602,961.75
  5. Step 5: Solve for x
    x = 81,602,961.75/9,307.68
  6. Step 6: Final answer
    x = 8,767.27

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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.