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Finding the Fourth Proportional to 4,656.87, 6,985.17 and 1,194.12

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Solution

The fourth proportional to 4,656.87, 6,985.17 and 1,194.12 is: 1,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.87 : 6,985.17 = 1,194.12 : x
  2. Step 2: Convert to fraction form
    4,656.87/6,985.17 = 1,194.12/x
  3. Step 3: Cross multiply
    4,656.87x = 6,985.17 × 1,194.12
  4. Step 4: Simplify right side
    4,656.87x = 8,341,131.20
  5. Step 5: Solve for x
    x = 8,341,131.20/4,656.87
  6. Step 6: Final answer
    x = 1,791.15

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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.