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Finding the Fourth Proportional to 6,564.88, 9,880.38 and 4,930

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Solution

The fourth proportional to 6,564.88, 9,880.38 and 4,930 is: 7,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.88 : 9,880.38 = 4,930 : x
  2. Step 2: Convert to fraction form
    6,564.88/9,880.38 = 4,930/x
  3. Step 3: Cross multiply
    6,564.88x = 9,880.38 × 4,930
  4. Step 4: Simplify right side
    6,564.88x = 48,710,273.40
  5. Step 5: Solve for x
    x = 48,710,273.40/6,564.88
  6. Step 6: Final answer
    x = 7,419.83

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