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Finding the Fourth Proportional to 9,849.93, 13,597.92 and 7,606.77

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Solution

The fourth proportional to 9,849.93, 13,597.92 and 7,606.77 is: 10,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.93 : 13,597.92 = 7,606.77 : x
  2. Step 2: Convert to fraction form
    9,849.93/13,597.92 = 7,606.77/x
  3. Step 3: Cross multiply
    9,849.93x = 13,597.92 × 7,606.77
  4. Step 4: Simplify right side
    9,849.93x = 103,436,249.92
  5. Step 5: Solve for x
    x = 103,436,249.92/9,849.93
  6. Step 6: Final answer
    x = 10,501.22

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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.