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Finding the Fourth Proportional to 6,529.65, 9,016.89 and 4,175.89

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Solution

The fourth proportional to 6,529.65, 9,016.89 and 4,175.89 is: 5,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.65 : 9,016.89 = 4,175.89 : x
  2. Step 2: Convert to fraction form
    6,529.65/9,016.89 = 4,175.89/x
  3. Step 3: Cross multiply
    6,529.65x = 9,016.89 × 4,175.89
  4. Step 4: Simplify right side
    6,529.65x = 37,653,502.58
  5. Step 5: Solve for x
    x = 37,653,502.58/6,529.65
  6. Step 6: Final answer
    x = 5,766.55

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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.