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Finding the Fourth Proportional to 6,641.62, 9,962.31 and 2,024.50

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Solution

The fourth proportional to 6,641.62, 9,962.31 and 2,024.50 is: 3,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.62 : 9,962.31 = 2,024.50 : x
  2. Step 2: Convert to fraction form
    6,641.62/9,962.31 = 2,024.50/x
  3. Step 3: Cross multiply
    6,641.62x = 9,962.31 × 2,024.50
  4. Step 4: Simplify right side
    6,641.62x = 20,168,696.60
  5. Step 5: Solve for x
    x = 20,168,696.60/6,641.62
  6. Step 6: Final answer
    x = 3,036.71

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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.