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Finding the Fourth Proportional to 6,541.50, 9,813.47 and 2,648.64

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Solution

The fourth proportional to 6,541.50, 9,813.47 and 2,648.64 is: 3,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.50 : 9,813.47 = 2,648.64 : x
  2. Step 2: Convert to fraction form
    6,541.50/9,813.47 = 2,648.64/x
  3. Step 3: Cross multiply
    6,541.50x = 9,813.47 × 2,648.64
  4. Step 4: Simplify right side
    6,541.50x = 25,992,349.18
  5. Step 5: Solve for x
    x = 25,992,349.18/6,541.50
  6. Step 6: Final answer
    x = 3,973.45

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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.