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Finding the Fourth Proportional to 4,686.57, 6,468.75 and 2,917.14

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Solution

The fourth proportional to 4,686.57, 6,468.75 and 2,917.14 is: 4,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.57 : 6,468.75 = 2,917.14 : x
  2. Step 2: Convert to fraction form
    4,686.57/6,468.75 = 2,917.14/x
  3. Step 3: Cross multiply
    4,686.57x = 6,468.75 × 2,917.14
  4. Step 4: Simplify right side
    4,686.57x = 18,870,249.38
  5. Step 5: Solve for x
    x = 18,870,249.38/4,686.57
  6. Step 6: Final answer
    x = 4,026.45

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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.