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Finding the Fourth Proportional to 4,966.39, 7,447.28 and 2,886.98

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Solution

The fourth proportional to 4,966.39, 7,447.28 and 2,886.98 is: 4,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.39 : 7,447.28 = 2,886.98 : x
  2. Step 2: Convert to fraction form
    4,966.39/7,447.28 = 2,886.98/x
  3. Step 3: Cross multiply
    4,966.39x = 7,447.28 × 2,886.98
  4. Step 4: Simplify right side
    4,966.39x = 21,500,174.25
  5. Step 5: Solve for x
    x = 21,500,174.25/4,966.39
  6. Step 6: Final answer
    x = 4,329.14

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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.