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Finding the Fourth Proportional to 9,794.42, 13,511.28 and 6,253.90

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Solution

The fourth proportional to 9,794.42, 13,511.28 and 6,253.90 is: 8,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.42 : 13,511.28 = 6,253.90 : x
  2. Step 2: Convert to fraction form
    9,794.42/13,511.28 = 6,253.90/x
  3. Step 3: Cross multiply
    9,794.42x = 13,511.28 × 6,253.90
  4. Step 4: Simplify right side
    9,794.42x = 84,498,193.99
  5. Step 5: Solve for x
    x = 84,498,193.99/9,794.42
  6. Step 6: Final answer
    x = 8,627.18

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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.