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Finding the Fourth Proportional to 9,203.70, 13,805.55 and 8,205.30

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Solution

The fourth proportional to 9,203.70, 13,805.55 and 8,205.30 is: 12,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.70 : 13,805.55 = 8,205.30 : x
  2. Step 2: Convert to fraction form
    9,203.70/13,805.55 = 8,205.30/x
  3. Step 3: Cross multiply
    9,203.70x = 13,805.55 × 8,205.30
  4. Step 4: Simplify right side
    9,203.70x = 113,278,679.42
  5. Step 5: Solve for x
    x = 113,278,679.42/9,203.70
  6. Step 6: Final answer
    x = 12,307.95

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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.