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Finding the Fourth Proportional to 15,075, 22,613.14 and 4,131

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Solution

The fourth proportional to 15,075, 22,613.14 and 4,131 is: 6,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075 : 22,613.14 = 4,131 : x
  2. Step 2: Convert to fraction form
    15,075/22,613.14 = 4,131/x
  3. Step 3: Cross multiply
    15,075x = 22,613.14 × 4,131
  4. Step 4: Simplify right side
    15,075x = 93,414,881.34
  5. Step 5: Solve for x
    x = 93,414,881.34/15,075
  6. Step 6: Final answer
    x = 6,196.68

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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.