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Finding the Fourth Proportional to 6,302.75, 9,454.13 and 1,685.75

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Solution

The fourth proportional to 6,302.75, 9,454.13 and 1,685.75 is: 2,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.75 : 9,454.13 = 1,685.75 : x
  2. Step 2: Convert to fraction form
    6,302.75/9,454.13 = 1,685.75/x
  3. Step 3: Cross multiply
    6,302.75x = 9,454.13 × 1,685.75
  4. Step 4: Simplify right side
    6,302.75x = 15,937,299.65
  5. Step 5: Solve for x
    x = 15,937,299.65/6,302.75
  6. Step 6: Final answer
    x = 2,528.63

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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.