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Finding the Fourth Proportional to 22,462.56, 33,698.52 and 8,420.40

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Solution

The fourth proportional to 22,462.56, 33,698.52 and 8,420.40 is: 12,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.56 : 33,698.52 = 8,420.40 : x
  2. Step 2: Convert to fraction form
    22,462.56/33,698.52 = 8,420.40/x
  3. Step 3: Cross multiply
    22,462.56x = 33,698.52 × 8,420.40
  4. Step 4: Simplify right side
    22,462.56x = 283,755,017.81
  5. Step 5: Solve for x
    x = 283,755,017.81/22,462.56
  6. Step 6: Final answer
    x = 12,632.35

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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.