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Finding the Fourth Proportional to 6,355.71, 9,534.83 and 1,972.98

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Solution

The fourth proportional to 6,355.71, 9,534.83 and 1,972.98 is: 2,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.71 : 9,534.83 = 1,972.98 : x
  2. Step 2: Convert to fraction form
    6,355.71/9,534.83 = 1,972.98/x
  3. Step 3: Cross multiply
    6,355.71x = 9,534.83 × 1,972.98
  4. Step 4: Simplify right side
    6,355.71x = 18,812,019.03
  5. Step 5: Solve for x
    x = 18,812,019.03/6,355.71
  6. Step 6: Final answer
    x = 2,959.86

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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.