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Finding the Fourth Proportional to 22,471.34, 33,707.86 and 5,830.94

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Solution

The fourth proportional to 22,471.34, 33,707.86 and 5,830.94 is: 8,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.34 : 33,707.86 = 5,830.94 : x
  2. Step 2: Convert to fraction form
    22,471.34/33,707.86 = 5,830.94/x
  3. Step 3: Cross multiply
    22,471.34x = 33,707.86 × 5,830.94
  4. Step 4: Simplify right side
    22,471.34x = 196,548,509.19
  5. Step 5: Solve for x
    x = 196,548,509.19/22,471.34
  6. Step 6: Final answer
    x = 8,746.63

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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.