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Finding the Fourth Proportional to 6,478.48, 8,937.84 and 3,958.57

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Solution

The fourth proportional to 6,478.48, 8,937.84 and 3,958.57 is: 5,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.48 : 8,937.84 = 3,958.57 : x
  2. Step 2: Convert to fraction form
    6,478.48/8,937.84 = 3,958.57/x
  3. Step 3: Cross multiply
    6,478.48x = 8,937.84 × 3,958.57
  4. Step 4: Simplify right side
    6,478.48x = 35,381,091.31
  5. Step 5: Solve for x
    x = 35,381,091.31/6,478.48
  6. Step 6: Final answer
    x = 5,461.32

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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.