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Finding the Fourth Proportional to 7,656.96, 11,485.62 and 7,164.84

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Solution

The fourth proportional to 7,656.96, 11,485.62 and 7,164.84 is: 10,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.96 : 11,485.62 = 7,164.84 : x
  2. Step 2: Convert to fraction form
    7,656.96/11,485.62 = 7,164.84/x
  3. Step 3: Cross multiply
    7,656.96x = 11,485.62 × 7,164.84
  4. Step 4: Simplify right side
    7,656.96x = 82,292,629.60
  5. Step 5: Solve for x
    x = 82,292,629.60/7,656.96
  6. Step 6: Final answer
    x = 10,747.43

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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.