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Finding the Fourth Proportional to 31,117.65, 46,676.48 and 7,744.09

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Solution

The fourth proportional to 31,117.65, 46,676.48 and 7,744.09 is: 11,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.65 : 46,676.48 = 7,744.09 : x
  2. Step 2: Convert to fraction form
    31,117.65/46,676.48 = 7,744.09/x
  3. Step 3: Cross multiply
    31,117.65x = 46,676.48 × 7,744.09
  4. Step 4: Simplify right side
    31,117.65x = 361,466,647.98
  5. Step 5: Solve for x
    x = 361,466,647.98/31,117.65
  6. Step 6: Final answer
    x = 11,616.13

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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.