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Finding the Fourth Proportional to 9,998, 13,797.24 and 5,806.52

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Solution

The fourth proportional to 9,998, 13,797.24 and 5,806.52 is: 8,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998 : 13,797.24 = 5,806.52 : x
  2. Step 2: Convert to fraction form
    9,998/13,797.24 = 5,806.52/x
  3. Step 3: Cross multiply
    9,998x = 13,797.24 × 5,806.52
  4. Step 4: Simplify right side
    9,998x = 80,113,950.00
  5. Step 5: Solve for x
    x = 80,113,950.00/9,998
  6. Step 6: Final answer
    x = 8,013.00

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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.