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Finding the Fourth Proportional to 3,214.08, 4,842 and 3,173.76

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Solution

The fourth proportional to 3,214.08, 4,842 and 3,173.76 is: 4,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.08 : 4,842 = 3,173.76 : x
  2. Step 2: Convert to fraction form
    3,214.08/4,842 = 3,173.76/x
  3. Step 3: Cross multiply
    3,214.08x = 4,842 × 3,173.76
  4. Step 4: Simplify right side
    3,214.08x = 15,367,345.92
  5. Step 5: Solve for x
    x = 15,367,345.92/3,214.08
  6. Step 6: Final answer
    x = 4,781.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.