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Finding the Fourth Proportional to 6,562.88, 9,877.36 and 4,928

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Solution

The fourth proportional to 6,562.88, 9,877.36 and 4,928 is: 7,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.88 : 9,877.36 = 4,928 : x
  2. Step 2: Convert to fraction form
    6,562.88/9,877.36 = 4,928/x
  3. Step 3: Cross multiply
    6,562.88x = 9,877.36 × 4,928
  4. Step 4: Simplify right side
    6,562.88x = 48,675,630.08
  5. Step 5: Solve for x
    x = 48,675,630.08/6,562.88
  6. Step 6: Final answer
    x = 7,416.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.