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Finding the Fourth Proportional to 6,885.32, 9,502.56 and 4,090.80

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Solution

The fourth proportional to 6,885.32, 9,502.56 and 4,090.80 is: 5,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.32 : 9,502.56 = 4,090.80 : x
  2. Step 2: Convert to fraction form
    6,885.32/9,502.56 = 4,090.80/x
  3. Step 3: Cross multiply
    6,885.32x = 9,502.56 × 4,090.80
  4. Step 4: Simplify right side
    6,885.32x = 38,873,072.45
  5. Step 5: Solve for x
    x = 38,873,072.45/6,885.32
  6. Step 6: Final answer
    x = 5,645.79

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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.