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Finding the Fourth Proportional to 23,471.51, 35,206.25 and 6,831.20

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Solution

The fourth proportional to 23,471.51, 35,206.25 and 6,831.20 is: 10,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.51 : 35,206.25 = 6,831.20 : x
  2. Step 2: Convert to fraction form
    23,471.51/35,206.25 = 6,831.20/x
  3. Step 3: Cross multiply
    23,471.51x = 35,206.25 × 6,831.20
  4. Step 4: Simplify right side
    23,471.51x = 240,500,988.86
  5. Step 5: Solve for x
    x = 240,500,988.86/23,471.51
  6. Step 6: Final answer
    x = 10,246.51

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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.