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Finding the Fourth Proportional to 6,144.72, 9,217.08 and 5,299.08

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Solution

The fourth proportional to 6,144.72, 9,217.08 and 5,299.08 is: 7,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.72 : 9,217.08 = 5,299.08 : x
  2. Step 2: Convert to fraction form
    6,144.72/9,217.08 = 5,299.08/x
  3. Step 3: Cross multiply
    6,144.72x = 9,217.08 × 5,299.08
  4. Step 4: Simplify right side
    6,144.72x = 48,842,044.29
  5. Step 5: Solve for x
    x = 48,842,044.29/6,144.72
  6. Step 6: Final answer
    x = 7,948.62

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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.