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Finding the Fourth Proportional to 6,780.81, 9,357.02 and 3,948.21

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Solution

The fourth proportional to 6,780.81, 9,357.02 and 3,948.21 is: 5,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.81 : 9,357.02 = 3,948.21 : x
  2. Step 2: Convert to fraction form
    6,780.81/9,357.02 = 3,948.21/x
  3. Step 3: Cross multiply
    6,780.81x = 9,357.02 × 3,948.21
  4. Step 4: Simplify right side
    6,780.81x = 36,943,475.00
  5. Step 5: Solve for x
    x = 36,943,475.00/6,780.81
  6. Step 6: Final answer
    x = 5,448.24

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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.