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Finding the Fourth Proportional to 8,315.04, 11,469.92 and 4,956.78

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Solution

The fourth proportional to 8,315.04, 11,469.92 and 4,956.78 is: 6,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.04 : 11,469.92 = 4,956.78 : x
  2. Step 2: Convert to fraction form
    8,315.04/11,469.92 = 4,956.78/x
  3. Step 3: Cross multiply
    8,315.04x = 11,469.92 × 4,956.78
  4. Step 4: Simplify right side
    8,315.04x = 56,853,870.06
  5. Step 5: Solve for x
    x = 56,853,870.06/8,315.04
  6. Step 6: Final answer
    x = 6,837.47

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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.