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Finding the Fourth Proportional to 5,768.44, 7,966.29 and 4,970.14

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Solution

The fourth proportional to 5,768.44, 7,966.29 and 4,970.14 is: 6,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.44 : 7,966.29 = 4,970.14 : x
  2. Step 2: Convert to fraction form
    5,768.44/7,966.29 = 4,970.14/x
  3. Step 3: Cross multiply
    5,768.44x = 7,966.29 × 4,970.14
  4. Step 4: Simplify right side
    5,768.44x = 39,593,576.58
  5. Step 5: Solve for x
    x = 39,593,576.58/5,768.44
  6. Step 6: Final answer
    x = 6,863.83

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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.