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Finding the Fourth Proportional to 6,347.68, 9,522.68 and 1,964.84

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Solution

The fourth proportional to 6,347.68, 9,522.68 and 1,964.84 is: 2,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.68 : 9,522.68 = 1,964.84 : x
  2. Step 2: Convert to fraction form
    6,347.68/9,522.68 = 1,964.84/x
  3. Step 3: Cross multiply
    6,347.68x = 9,522.68 × 1,964.84
  4. Step 4: Simplify right side
    6,347.68x = 18,710,542.57
  5. Step 5: Solve for x
    x = 18,710,542.57/6,347.68
  6. Step 6: Final answer
    x = 2,947.62

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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.