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Finding the Fourth Proportional to 22,410.47, 33,615.71 and 6,828.23

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Solution

The fourth proportional to 22,410.47, 33,615.71 and 6,828.23 is: 10,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,410.47 : 33,615.71 = 6,828.23 : x
  2. Step 2: Convert to fraction form
    22,410.47/33,615.71 = 6,828.23/x
  3. Step 3: Cross multiply
    22,410.47x = 33,615.71 × 6,828.23
  4. Step 4: Simplify right side
    22,410.47x = 229,535,597.27
  5. Step 5: Solve for x
    x = 229,535,597.27/22,410.47
  6. Step 6: Final answer
    x = 10,242.34

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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.