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Finding the Fourth Proportional to 5,684.04, 7,843.99 and 3,294.47

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Solution

The fourth proportional to 5,684.04, 7,843.99 and 3,294.47 is: 4,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.04 : 7,843.99 = 3,294.47 : x
  2. Step 2: Convert to fraction form
    5,684.04/7,843.99 = 3,294.47/x
  3. Step 3: Cross multiply
    5,684.04x = 7,843.99 × 3,294.47
  4. Step 4: Simplify right side
    5,684.04x = 25,841,807.29
  5. Step 5: Solve for x
    x = 25,841,807.29/5,684.04
  6. Step 6: Final answer
    x = 4,546.38

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