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Finding the Fourth Proportional to 9,799.77, 13,523.90 and 5,820.90

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Solution

The fourth proportional to 9,799.77, 13,523.90 and 5,820.90 is: 8,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.77 : 13,523.90 = 5,820.90 : x
  2. Step 2: Convert to fraction form
    9,799.77/13,523.90 = 5,820.90/x
  3. Step 3: Cross multiply
    9,799.77x = 13,523.90 × 5,820.90
  4. Step 4: Simplify right side
    9,799.77x = 78,721,269.51
  5. Step 5: Solve for x
    x = 78,721,269.51/9,799.77
  6. Step 6: Final answer
    x = 8,032.97

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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.