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Finding the Fourth Proportional to 7,567, 11,342.08 and 5,712.10

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Solution

The fourth proportional to 7,567, 11,342.08 and 5,712.10 is: 8,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567 : 11,342.08 = 5,712.10 : x
  2. Step 2: Convert to fraction form
    7,567/11,342.08 = 5,712.10/x
  3. Step 3: Cross multiply
    7,567x = 11,342.08 × 5,712.10
  4. Step 4: Simplify right side
    7,567x = 64,787,095.17
  5. Step 5: Solve for x
    x = 64,787,095.17/7,567
  6. Step 6: Final answer
    x = 8,561.79

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Half scale
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Double scale
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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.