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Finding the Fourth Proportional to 6,538.04, 9,807.36 and 2,155.40

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Solution

The fourth proportional to 6,538.04, 9,807.36 and 2,155.40 is: 3,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.04 : 9,807.36 = 2,155.40 : x
  2. Step 2: Convert to fraction form
    6,538.04/9,807.36 = 2,155.40/x
  3. Step 3: Cross multiply
    6,538.04x = 9,807.36 × 2,155.40
  4. Step 4: Simplify right side
    6,538.04x = 21,138,783.74
  5. Step 5: Solve for x
    x = 21,138,783.74/6,538.04
  6. Step 6: Final answer
    x = 3,233.20

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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.