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Finding the Fourth Proportional to 9,779.67, 13,496.16 and 5,799.33

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Solution

The fourth proportional to 9,779.67, 13,496.16 and 5,799.33 is: 8,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.67 : 13,496.16 = 5,799.33 : x
  2. Step 2: Convert to fraction form
    9,779.67/13,496.16 = 5,799.33/x
  3. Step 3: Cross multiply
    9,779.67x = 13,496.16 × 5,799.33
  4. Step 4: Simplify right side
    9,779.67x = 78,268,685.57
  5. Step 5: Solve for x
    x = 78,268,685.57/9,779.67
  6. Step 6: Final answer
    x = 8,003.20

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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.