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Finding the Fourth Proportional to 12,882.81, 17,774.13 and 7,849.08

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Solution

The fourth proportional to 12,882.81, 17,774.13 and 7,849.08 is: 10,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.81 : 17,774.13 = 7,849.08 : x
  2. Step 2: Convert to fraction form
    12,882.81/17,774.13 = 7,849.08/x
  3. Step 3: Cross multiply
    12,882.81x = 17,774.13 × 7,849.08
  4. Step 4: Simplify right side
    12,882.81x = 139,510,568.30
  5. Step 5: Solve for x
    x = 139,510,568.30/12,882.81
  6. Step 6: Final answer
    x = 10,829.20

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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.