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Finding the Fourth Proportional to 7,799.54, 11,751.95 and 6,443.26

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Solution

The fourth proportional to 7,799.54, 11,751.95 and 6,443.26 is: 9,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.54 : 11,751.95 = 6,443.26 : x
  2. Step 2: Convert to fraction form
    7,799.54/11,751.95 = 6,443.26/x
  3. Step 3: Cross multiply
    7,799.54x = 11,751.95 × 6,443.26
  4. Step 4: Simplify right side
    7,799.54x = 75,720,869.36
  5. Step 5: Solve for x
    x = 75,720,869.36/7,799.54
  6. Step 6: Final answer
    x = 9,708.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.