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Finding the Fourth Proportional to 5,296.93, 7,906.70 and 4,911.47

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Solution

The fourth proportional to 5,296.93, 7,906.70 and 4,911.47 is: 7,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.93 : 7,906.70 = 4,911.47 : x
  2. Step 2: Convert to fraction form
    5,296.93/7,906.70 = 4,911.47/x
  3. Step 3: Cross multiply
    5,296.93x = 7,906.70 × 4,911.47
  4. Step 4: Simplify right side
    5,296.93x = 38,833,494.62
  5. Step 5: Solve for x
    x = 38,833,494.62/5,296.93
  6. Step 6: Final answer
    x = 7,331.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.