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Finding the Fourth Proportional to 6,524.10, 9,786.15 and 5,228.10

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Solution

The fourth proportional to 6,524.10, 9,786.15 and 5,228.10 is: 7,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.10 : 9,786.15 = 5,228.10 : x
  2. Step 2: Convert to fraction form
    6,524.10/9,786.15 = 5,228.10/x
  3. Step 3: Cross multiply
    6,524.10x = 9,786.15 × 5,228.10
  4. Step 4: Simplify right side
    6,524.10x = 51,162,970.82
  5. Step 5: Solve for x
    x = 51,162,970.82/6,524.10
  6. Step 6: Final answer
    x = 7,842.15

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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.