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Finding the Fourth Proportional to 6,141.65, 9,212.25 and 1,759.10

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Solution

The fourth proportional to 6,141.65, 9,212.25 and 1,759.10 is: 2,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.65 : 9,212.25 = 1,759.10 : x
  2. Step 2: Convert to fraction form
    6,141.65/9,212.25 = 1,759.10/x
  3. Step 3: Cross multiply
    6,141.65x = 9,212.25 × 1,759.10
  4. Step 4: Simplify right side
    6,141.65x = 16,205,268.98
  5. Step 5: Solve for x
    x = 16,205,268.98/6,141.65
  6. Step 6: Final answer
    x = 2,638.59

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.