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Finding the Fourth Proportional to 5,504.97, 7,597.62 and 3,147.06

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Solution

The fourth proportional to 5,504.97, 7,597.62 and 3,147.06 is: 4,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.97 : 7,597.62 = 3,147.06 : x
  2. Step 2: Convert to fraction form
    5,504.97/7,597.62 = 3,147.06/x
  3. Step 3: Cross multiply
    5,504.97x = 7,597.62 × 3,147.06
  4. Step 4: Simplify right side
    5,504.97x = 23,910,166.00
  5. Step 5: Solve for x
    x = 23,910,166.00/5,504.97
  6. Step 6: Final answer
    x = 4,343.38

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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.