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Finding the Fourth Proportional to 9,777.32, 13,494.43 and 5,799.81

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Solution

The fourth proportional to 9,777.32, 13,494.43 and 5,799.81 is: 8,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.32 : 13,494.43 = 5,799.81 : x
  2. Step 2: Convert to fraction form
    9,777.32/13,494.43 = 5,799.81/x
  3. Step 3: Cross multiply
    9,777.32x = 13,494.43 × 5,799.81
  4. Step 4: Simplify right side
    9,777.32x = 78,265,130.06
  5. Step 5: Solve for x
    x = 78,265,130.06/9,777.32
  6. Step 6: Final answer
    x = 8,004.76

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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.