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Finding the Fourth Proportional to 7,704.10, 11,556.15 and 6,408.10

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Solution

The fourth proportional to 7,704.10, 11,556.15 and 6,408.10 is: 9,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.10 : 11,556.15 = 6,408.10 : x
  2. Step 2: Convert to fraction form
    7,704.10/11,556.15 = 6,408.10/x
  3. Step 3: Cross multiply
    7,704.10x = 11,556.15 × 6,408.10
  4. Step 4: Simplify right side
    7,704.10x = 74,052,964.82
  5. Step 5: Solve for x
    x = 74,052,964.82/7,704.10
  6. Step 6: Final answer
    x = 9,612.15

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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.