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Finding the Fourth Proportional to 7,853.59, 11,759.28 and 6,857.02

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Solution

The fourth proportional to 7,853.59, 11,759.28 and 6,857.02 is: 10,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.59 : 11,759.28 = 6,857.02 : x
  2. Step 2: Convert to fraction form
    7,853.59/11,759.28 = 6,857.02/x
  3. Step 3: Cross multiply
    7,853.59x = 11,759.28 × 6,857.02
  4. Step 4: Simplify right side
    7,853.59x = 80,633,618.15
  5. Step 5: Solve for x
    x = 80,633,618.15/7,853.59
  6. Step 6: Final answer
    x = 10,267.10

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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.