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Finding the Fourth Proportional to 9,849.15, 13,598.67 and 7,969.07

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Solution

The fourth proportional to 9,849.15, 13,598.67 and 7,969.07 is: 11,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.15 : 13,598.67 = 7,969.07 : x
  2. Step 2: Convert to fraction form
    9,849.15/13,598.67 = 7,969.07/x
  3. Step 3: Cross multiply
    9,849.15x = 13,598.67 × 7,969.07
  4. Step 4: Simplify right side
    9,849.15x = 108,368,753.14
  5. Step 5: Solve for x
    x = 108,368,753.14/9,849.15
  6. Step 6: Final answer
    x = 11,002.85

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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.