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Finding the Fourth Proportional to 7,274.64, 10,917.45 and 5,831.22

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Solution

The fourth proportional to 7,274.64, 10,917.45 and 5,831.22 is: 8,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.64 : 10,917.45 = 5,831.22 : x
  2. Step 2: Convert to fraction form
    7,274.64/10,917.45 = 5,831.22/x
  3. Step 3: Cross multiply
    7,274.64x = 10,917.45 × 5,831.22
  4. Step 4: Simplify right side
    7,274.64x = 63,662,067.37
  5. Step 5: Solve for x
    x = 63,662,067.37/7,274.64
  6. Step 6: Final answer
    x = 8,751.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.