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Finding the Fourth Proportional to 9,808.11, 13,536.99 and 5,831.42

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Solution

The fourth proportional to 9,808.11, 13,536.99 and 5,831.42 is: 8,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.11 : 13,536.99 = 5,831.42 : x
  2. Step 2: Convert to fraction form
    9,808.11/13,536.99 = 5,831.42/x
  3. Step 3: Cross multiply
    9,808.11x = 13,536.99 × 5,831.42
  4. Step 4: Simplify right side
    9,808.11x = 78,939,806.54
  5. Step 5: Solve for x
    x = 78,939,806.54/9,808.11
  6. Step 6: Final answer
    x = 8,048.42

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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.