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Finding the Fourth Proportional to 6,458.10, 9,687.15 and 5,486.10

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Solution

The fourth proportional to 6,458.10, 9,687.15 and 5,486.10 is: 8,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.10 : 9,687.15 = 5,486.10 : x
  2. Step 2: Convert to fraction form
    6,458.10/9,687.15 = 5,486.10/x
  3. Step 3: Cross multiply
    6,458.10x = 9,687.15 × 5,486.10
  4. Step 4: Simplify right side
    6,458.10x = 53,144,673.62
  5. Step 5: Solve for x
    x = 53,144,673.62/6,458.10
  6. Step 6: Final answer
    x = 8,229.15

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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.