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Finding the Fourth Proportional to 10,707.77, 14,773.92 and 6,169.34

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Solution

The fourth proportional to 10,707.77, 14,773.92 and 6,169.34 is: 8,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.77 : 14,773.92 = 6,169.34 : x
  2. Step 2: Convert to fraction form
    10,707.77/14,773.92 = 6,169.34/x
  3. Step 3: Cross multiply
    10,707.77x = 14,773.92 × 6,169.34
  4. Step 4: Simplify right side
    10,707.77x = 91,145,335.61
  5. Step 5: Solve for x
    x = 91,145,335.61/10,707.77
  6. Step 6: Final answer
    x = 8,512.07

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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.