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Finding the Fourth Proportional to 6,213.94, 9,320.86 and 1,831.33

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Solution

The fourth proportional to 6,213.94, 9,320.86 and 1,831.33 is: 2,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.94 : 9,320.86 = 1,831.33 : x
  2. Step 2: Convert to fraction form
    6,213.94/9,320.86 = 1,831.33/x
  3. Step 3: Cross multiply
    6,213.94x = 9,320.86 × 1,831.33
  4. Step 4: Simplify right side
    6,213.94x = 17,069,561.39
  5. Step 5: Solve for x
    x = 17,069,561.39/6,213.94
  6. Step 6: Final answer
    x = 2,746.98

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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.