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Finding the Fourth Proportional to 9,846.93, 13,593.78 and 7,603.77

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Solution

The fourth proportional to 9,846.93, 13,593.78 and 7,603.77 is: 10,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.93 : 13,593.78 = 7,603.77 : x
  2. Step 2: Convert to fraction form
    9,846.93/13,593.78 = 7,603.77/x
  3. Step 3: Cross multiply
    9,846.93x = 13,593.78 × 7,603.77
  4. Step 4: Simplify right side
    9,846.93x = 103,363,976.55
  5. Step 5: Solve for x
    x = 103,363,976.55/9,846.93
  6. Step 6: Final answer
    x = 10,497.08

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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.