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Finding the Fourth Proportional to 7,863.71, 10,849.34 and 4,460.33

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Solution

The fourth proportional to 7,863.71, 10,849.34 and 4,460.33 is: 6,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.71 : 10,849.34 = 4,460.33 : x
  2. Step 2: Convert to fraction form
    7,863.71/10,849.34 = 4,460.33/x
  3. Step 3: Cross multiply
    7,863.71x = 10,849.34 × 4,460.33
  4. Step 4: Simplify right side
    7,863.71x = 48,391,560.13
  5. Step 5: Solve for x
    x = 48,391,560.13/7,863.71
  6. Step 6: Final answer
    x = 6,153.79

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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.