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Finding the Fourth Proportional to 6,656.73, 9,977.33 and 5,007.98

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Solution

The fourth proportional to 6,656.73, 9,977.33 and 5,007.98 is: 7,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.73 : 9,977.33 = 5,007.98 : x
  2. Step 2: Convert to fraction form
    6,656.73/9,977.33 = 5,007.98/x
  3. Step 3: Cross multiply
    6,656.73x = 9,977.33 × 5,007.98
  4. Step 4: Simplify right side
    6,656.73x = 49,966,194.17
  5. Step 5: Solve for x
    x = 49,966,194.17/6,656.73
  6. Step 6: Final answer
    x = 7,506.12

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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.