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Finding the Fourth Proportional to 6,641.60, 9,962.40 and 2,024.60

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Solution

The fourth proportional to 6,641.60, 9,962.40 and 2,024.60 is: 3,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.60 : 9,962.40 = 2,024.60 : x
  2. Step 2: Convert to fraction form
    6,641.60/9,962.40 = 2,024.60/x
  3. Step 3: Cross multiply
    6,641.60x = 9,962.40 × 2,024.60
  4. Step 4: Simplify right side
    6,641.60x = 20,169,875.04
  5. Step 5: Solve for x
    x = 20,169,875.04/6,641.60
  6. Step 6: Final answer
    x = 3,036.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.