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Finding the Fourth Proportional to 14,605.84, 21,882.84 and 7,685.20

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Solution

The fourth proportional to 14,605.84, 21,882.84 and 7,685.20 is: 11,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.84 : 21,882.84 = 7,685.20 : x
  2. Step 2: Convert to fraction form
    14,605.84/21,882.84 = 7,685.20/x
  3. Step 3: Cross multiply
    14,605.84x = 21,882.84 × 7,685.20
  4. Step 4: Simplify right side
    14,605.84x = 168,174,001.97
  5. Step 5: Solve for x
    x = 168,174,001.97/14,605.84
  6. Step 6: Final answer
    x = 11,514.16

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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.