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Finding the Fourth Proportional to 7,705.53, 10,654.34 and 7,350.75

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Solution

The fourth proportional to 7,705.53, 10,654.34 and 7,350.75 is: 10,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.53 : 10,654.34 = 7,350.75 : x
  2. Step 2: Convert to fraction form
    7,705.53/10,654.34 = 7,350.75/x
  3. Step 3: Cross multiply
    7,705.53x = 10,654.34 × 7,350.75
  4. Step 4: Simplify right side
    7,705.53x = 78,317,353.00
  5. Step 5: Solve for x
    x = 78,317,353.00/7,705.53
  6. Step 6: Final answer
    x = 10,163.79

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.