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Finding the Fourth Proportional to 6,494.29, 8,956.22 and 4,255.34

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Solution

The fourth proportional to 6,494.29, 8,956.22 and 4,255.34 is: 5,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.29 : 8,956.22 = 4,255.34 : x
  2. Step 2: Convert to fraction form
    6,494.29/8,956.22 = 4,255.34/x
  3. Step 3: Cross multiply
    6,494.29x = 8,956.22 × 4,255.34
  4. Step 4: Simplify right side
    6,494.29x = 38,111,695.16
  5. Step 5: Solve for x
    x = 38,111,695.16/6,494.29
  6. Step 6: Final answer
    x = 5,868.50

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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.