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Finding the Fourth Proportional to 10,101.98, 13,943.00 and 6,559.04

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Solution

The fourth proportional to 10,101.98, 13,943.00 and 6,559.04 is: 9,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.98 : 13,943.00 = 6,559.04 : x
  2. Step 2: Convert to fraction form
    10,101.98/13,943.00 = 6,559.04/x
  3. Step 3: Cross multiply
    10,101.98x = 13,943.00 × 6,559.04
  4. Step 4: Simplify right side
    10,101.98x = 91,452,745.98
  5. Step 5: Solve for x
    x = 91,452,745.98/10,101.98
  6. Step 6: Final answer
    x = 9,052.95

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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.