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Finding the Fourth Proportional to 6,885.86, 9,502.33 and 3,860.78

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Solution

The fourth proportional to 6,885.86, 9,502.33 and 3,860.78 is: 5,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.86 : 9,502.33 = 3,860.78 : x
  2. Step 2: Convert to fraction form
    6,885.86/9,502.33 = 3,860.78/x
  3. Step 3: Cross multiply
    6,885.86x = 9,502.33 × 3,860.78
  4. Step 4: Simplify right side
    6,885.86x = 36,686,386.31
  5. Step 5: Solve for x
    x = 36,686,386.31/6,885.86
  6. Step 6: Final answer
    x = 5,327.79

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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.