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Finding the Fourth Proportional to 10,695.74, 14,755.65 and 8,333.78

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Solution

The fourth proportional to 10,695.74, 14,755.65 and 8,333.78 is: 11,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.74 : 14,755.65 = 8,333.78 : x
  2. Step 2: Convert to fraction form
    10,695.74/14,755.65 = 8,333.78/x
  3. Step 3: Cross multiply
    10,695.74x = 14,755.65 × 8,333.78
  4. Step 4: Simplify right side
    10,695.74x = 122,970,340.86
  5. Step 5: Solve for x
    x = 122,970,340.86/10,695.74
  6. Step 6: Final answer
    x = 11,497.13

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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.