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Finding the Fourth Proportional to 12,294.65, 16,966.33 and 7,514.58

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Solution

The fourth proportional to 12,294.65, 16,966.33 and 7,514.58 is: 10,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.65 : 16,966.33 = 7,514.58 : x
  2. Step 2: Convert to fraction form
    12,294.65/16,966.33 = 7,514.58/x
  3. Step 3: Cross multiply
    12,294.65x = 16,966.33 × 7,514.58
  4. Step 4: Simplify right side
    12,294.65x = 127,494,844.09
  5. Step 5: Solve for x
    x = 127,494,844.09/12,294.65
  6. Step 6: Final answer
    x = 10,369.94

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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.