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Finding the Fourth Proportional to 9,751.60, 14,603.10 and 7,807.60

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Solution

The fourth proportional to 9,751.60, 14,603.10 and 7,807.60 is: 11,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.60 : 14,603.10 = 7,807.60 : x
  2. Step 2: Convert to fraction form
    9,751.60/14,603.10 = 7,807.60/x
  3. Step 3: Cross multiply
    9,751.60x = 14,603.10 × 7,807.60
  4. Step 4: Simplify right side
    9,751.60x = 114,015,163.56
  5. Step 5: Solve for x
    x = 114,015,163.56/9,751.60
  6. Step 6: Final answer
    x = 11,691.94

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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.