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Finding the Fourth Proportional to 6,952.71, 10,429.02 and 1,758.60

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Solution

The fourth proportional to 6,952.71, 10,429.02 and 1,758.60 is: 2,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.71 : 10,429.02 = 1,758.60 : x
  2. Step 2: Convert to fraction form
    6,952.71/10,429.02 = 1,758.60/x
  3. Step 3: Cross multiply
    6,952.71x = 10,429.02 × 1,758.60
  4. Step 4: Simplify right side
    6,952.71x = 18,340,474.57
  5. Step 5: Solve for x
    x = 18,340,474.57/6,952.71
  6. Step 6: Final answer
    x = 2,637.89

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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.