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Finding the Fourth Proportional to 8,296.64, 11,446.08 and 5,778.08

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Solution

The fourth proportional to 8,296.64, 11,446.08 and 5,778.08 is: 7,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.64 : 11,446.08 = 5,778.08 : x
  2. Step 2: Convert to fraction form
    8,296.64/11,446.08 = 5,778.08/x
  3. Step 3: Cross multiply
    8,296.64x = 11,446.08 × 5,778.08
  4. Step 4: Simplify right side
    8,296.64x = 66,136,365.93
  5. Step 5: Solve for x
    x = 66,136,365.93/8,296.64
  6. Step 6: Final answer
    x = 7,971.46

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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.