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Finding the Fourth Proportional to 8,643.84, 11,930.88 and 5,107.20

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Solution

The fourth proportional to 8,643.84, 11,930.88 and 5,107.20 is: 7,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.84 : 11,930.88 = 5,107.20 : x
  2. Step 2: Convert to fraction form
    8,643.84/11,930.88 = 5,107.20/x
  3. Step 3: Cross multiply
    8,643.84x = 11,930.88 × 5,107.20
  4. Step 4: Simplify right side
    8,643.84x = 60,933,390.34
  5. Step 5: Solve for x
    x = 60,933,390.34/8,643.84
  6. Step 6: Final answer
    x = 7,049.34

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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.