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Finding the Fourth Proportional to 8,315.10, 11,468.97 and 4,955.31

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Solution

The fourth proportional to 8,315.10, 11,468.97 and 4,955.31 is: 6,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.10 : 11,468.97 = 4,955.31 : x
  2. Step 2: Convert to fraction form
    8,315.10/11,468.97 = 4,955.31/x
  3. Step 3: Cross multiply
    8,315.10x = 11,468.97 × 4,955.31
  4. Step 4: Simplify right side
    8,315.10x = 56,832,301.73
  5. Step 5: Solve for x
    x = 56,832,301.73/8,315.10
  6. Step 6: Final answer
    x = 6,834.83

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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.