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Finding the Fourth Proportional to 9,969.30, 13,764.26 and 6,198.10

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Solution

The fourth proportional to 9,969.30, 13,764.26 and 6,198.10 is: 8,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.30 : 13,764.26 = 6,198.10 : x
  2. Step 2: Convert to fraction form
    9,969.30/13,764.26 = 6,198.10/x
  3. Step 3: Cross multiply
    9,969.30x = 13,764.26 × 6,198.10
  4. Step 4: Simplify right side
    9,969.30x = 85,312,259.91
  5. Step 5: Solve for x
    x = 85,312,259.91/9,969.30
  6. Step 6: Final answer
    x = 8,557.50

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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.