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Finding the Fourth Proportional to 6,641.34, 9,962.01 and 2,024.34

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Solution

The fourth proportional to 6,641.34, 9,962.01 and 2,024.34 is: 3,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.34 : 9,962.01 = 2,024.34 : x
  2. Step 2: Convert to fraction form
    6,641.34/9,962.01 = 2,024.34/x
  3. Step 3: Cross multiply
    6,641.34x = 9,962.01 × 2,024.34
  4. Step 4: Simplify right side
    6,641.34x = 20,166,495.32
  5. Step 5: Solve for x
    x = 20,166,495.32/6,641.34
  6. Step 6: Final answer
    x = 3,036.51

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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.