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Finding the Fourth Proportional to 9,745.98, 13,433.64 and 7,617.74

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Solution

The fourth proportional to 9,745.98, 13,433.64 and 7,617.74 is: 10,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.98 : 13,433.64 = 7,617.74 : x
  2. Step 2: Convert to fraction form
    9,745.98/13,433.64 = 7,617.74/x
  3. Step 3: Cross multiply
    9,745.98x = 13,433.64 × 7,617.74
  4. Step 4: Simplify right side
    9,745.98x = 102,333,976.77
  5. Step 5: Solve for x
    x = 102,333,976.77/9,745.98
  6. Step 6: Final answer
    x = 10,500.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.