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Finding the Fourth Proportional to 6,641.68, 9,964.06 and 2,259.14

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Solution

The fourth proportional to 6,641.68, 9,964.06 and 2,259.14 is: 3,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.68 : 9,964.06 = 2,259.14 : x
  2. Step 2: Convert to fraction form
    6,641.68/9,964.06 = 2,259.14/x
  3. Step 3: Cross multiply
    6,641.68x = 9,964.06 × 2,259.14
  4. Step 4: Simplify right side
    6,641.68x = 22,510,219.80
  5. Step 5: Solve for x
    x = 22,510,219.80/6,641.68
  6. Step 6: Final answer
    x = 3,389.23

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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.