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Finding the Fourth Proportional to 10,770.67, 14,864.92 and 6,055.86

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Solution

The fourth proportional to 10,770.67, 14,864.92 and 6,055.86 is: 8,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.67 : 14,864.92 = 6,055.86 : x
  2. Step 2: Convert to fraction form
    10,770.67/14,864.92 = 6,055.86/x
  3. Step 3: Cross multiply
    10,770.67x = 14,864.92 × 6,055.86
  4. Step 4: Simplify right side
    10,770.67x = 90,019,859.29
  5. Step 5: Solve for x
    x = 90,019,859.29/10,770.67
  6. Step 6: Final answer
    x = 8,357.87

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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.