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Finding the Fourth Proportional to 8,315.91, 12,462.90 and 4,616.22

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Solution

The fourth proportional to 8,315.91, 12,462.90 and 4,616.22 is: 6,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.91 : 12,462.90 = 4,616.22 : x
  2. Step 2: Convert to fraction form
    8,315.91/12,462.90 = 4,616.22/x
  3. Step 3: Cross multiply
    8,315.91x = 12,462.90 × 4,616.22
  4. Step 4: Simplify right side
    8,315.91x = 57,531,488.24
  5. Step 5: Solve for x
    x = 57,531,488.24/8,315.91
  6. Step 6: Final answer
    x = 6,918.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.