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Finding the Fourth Proportional to 6,555.65, 9,046.82 and 3,904.25

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Solution

The fourth proportional to 6,555.65, 9,046.82 and 3,904.25 is: 5,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.65 : 9,046.82 = 3,904.25 : x
  2. Step 2: Convert to fraction form
    6,555.65/9,046.82 = 3,904.25/x
  3. Step 3: Cross multiply
    6,555.65x = 9,046.82 × 3,904.25
  4. Step 4: Simplify right side
    6,555.65x = 35,321,011.51
  5. Step 5: Solve for x
    x = 35,321,011.51/6,555.65
  6. Step 6: Final answer
    x = 5,387.88

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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.