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Finding the Fourth Proportional to 7,855.68, 11,774.04 and 3,468.16

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Solution

The fourth proportional to 7,855.68, 11,774.04 and 3,468.16 is: 5,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.68 : 11,774.04 = 3,468.16 : x
  2. Step 2: Convert to fraction form
    7,855.68/11,774.04 = 3,468.16/x
  3. Step 3: Cross multiply
    7,855.68x = 11,774.04 × 3,468.16
  4. Step 4: Simplify right side
    7,855.68x = 40,834,254.57
  5. Step 5: Solve for x
    x = 40,834,254.57/7,855.68
  6. Step 6: Final answer
    x = 5,198.05

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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.