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Finding the Fourth Proportional to 9,205.98, 13,810.68 and 8,371.32

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Solution

The fourth proportional to 9,205.98, 13,810.68 and 8,371.32 is: 12,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.98 : 13,810.68 = 8,371.32 : x
  2. Step 2: Convert to fraction form
    9,205.98/13,810.68 = 8,371.32/x
  3. Step 3: Cross multiply
    9,205.98x = 13,810.68 × 8,371.32
  4. Step 4: Simplify right side
    9,205.98x = 115,613,621.70
  5. Step 5: Solve for x
    x = 115,613,621.70/9,205.98
  6. Step 6: Final answer
    x = 12,558.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.