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Finding the Fourth Proportional to 6,641.93, 9,964.23 and 1,962.02

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Solution

The fourth proportional to 6,641.93, 9,964.23 and 1,962.02 is: 2,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.93 : 9,964.23 = 1,962.02 : x
  2. Step 2: Convert to fraction form
    6,641.93/9,964.23 = 1,962.02/x
  3. Step 3: Cross multiply
    6,641.93x = 9,964.23 × 1,962.02
  4. Step 4: Simplify right side
    6,641.93x = 19,550,018.54
  5. Step 5: Solve for x
    x = 19,550,018.54/6,641.93
  6. Step 6: Final answer
    x = 2,943.42

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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.