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Finding the Fourth Proportional to 6,863.72, 9,468.44 and 4,341.57

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Solution

The fourth proportional to 6,863.72, 9,468.44 and 4,341.57 is: 5,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.72 : 9,468.44 = 4,341.57 : x
  2. Step 2: Convert to fraction form
    6,863.72/9,468.44 = 4,341.57/x
  3. Step 3: Cross multiply
    6,863.72x = 9,468.44 × 4,341.57
  4. Step 4: Simplify right side
    6,863.72x = 41,107,873.34
  5. Step 5: Solve for x
    x = 41,107,873.34/6,863.72
  6. Step 6: Final answer
    x = 5,989.16

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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.