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Finding the Fourth Proportional to 9,224.99, 13,788.58 and 8,029.78

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Solution

The fourth proportional to 9,224.99, 13,788.58 and 8,029.78 is: 12,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.99 : 13,788.58 = 8,029.78 : x
  2. Step 2: Convert to fraction form
    9,224.99/13,788.58 = 8,029.78/x
  3. Step 3: Cross multiply
    9,224.99x = 13,788.58 × 8,029.78
  4. Step 4: Simplify right side
    9,224.99x = 110,719,301.98
  5. Step 5: Solve for x
    x = 110,719,301.98/9,224.99
  6. Step 6: Final answer
    x = 12,002.11

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.