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Finding the Fourth Proportional to 4,967.05, 6,854.10 and 2,842.15

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Solution

The fourth proportional to 4,967.05, 6,854.10 and 2,842.15 is: 3,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.05 : 6,854.10 = 2,842.15 : x
  2. Step 2: Convert to fraction form
    4,967.05/6,854.10 = 2,842.15/x
  3. Step 3: Cross multiply
    4,967.05x = 6,854.10 × 2,842.15
  4. Step 4: Simplify right side
    4,967.05x = 19,480,380.32
  5. Step 5: Solve for x
    x = 19,480,380.32/4,967.05
  6. Step 6: Final answer
    x = 3,921.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.