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Finding the Fourth Proportional to 4,569.41, 6,854.15 and 1,647.07

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Solution

The fourth proportional to 4,569.41, 6,854.15 and 1,647.07 is: 2,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.41 : 6,854.15 = 1,647.07 : x
  2. Step 2: Convert to fraction form
    4,569.41/6,854.15 = 1,647.07/x
  3. Step 3: Cross multiply
    4,569.41x = 6,854.15 × 1,647.07
  4. Step 4: Simplify right side
    4,569.41x = 11,289,251.82
  5. Step 5: Solve for x
    x = 11,289,251.82/4,569.41
  6. Step 6: Final answer
    x = 2,470.61

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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.