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Finding the Fourth Proportional to 10,167.84, 14,024.43 and 8,749.08

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Solution

The fourth proportional to 10,167.84, 14,024.43 and 8,749.08 is: 12,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.84 : 14,024.43 = 8,749.08 : x
  2. Step 2: Convert to fraction form
    10,167.84/14,024.43 = 8,749.08/x
  3. Step 3: Cross multiply
    10,167.84x = 14,024.43 × 8,749.08
  4. Step 4: Simplify right side
    10,167.84x = 122,700,878.04
  5. Step 5: Solve for x
    x = 122,700,878.04/10,167.84
  6. Step 6: Final answer
    x = 12,067.55

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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.