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Finding the Fourth Proportional to 11,471.96, 15,831.88 and 6,994.96

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Solution

The fourth proportional to 11,471.96, 15,831.88 and 6,994.96 is: 9,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.96 : 15,831.88 = 6,994.96 : x
  2. Step 2: Convert to fraction form
    11,471.96/15,831.88 = 6,994.96/x
  3. Step 3: Cross multiply
    11,471.96x = 15,831.88 × 6,994.96
  4. Step 4: Simplify right side
    11,471.96x = 110,743,367.32
  5. Step 5: Solve for x
    x = 110,743,367.32/11,471.96
  6. Step 6: Final answer
    x = 9,653.40

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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.