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Finding the Fourth Proportional to 22,465.50, 33,675.21 and 9,325.50

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Solution

The fourth proportional to 22,465.50, 33,675.21 and 9,325.50 is: 13,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.50 : 33,675.21 = 9,325.50 : x
  2. Step 2: Convert to fraction form
    22,465.50/33,675.21 = 9,325.50/x
  3. Step 3: Cross multiply
    22,465.50x = 33,675.21 × 9,325.50
  4. Step 4: Simplify right side
    22,465.50x = 314,038,170.86
  5. Step 5: Solve for x
    x = 314,038,170.86/22,465.50
  6. Step 6: Final answer
    x = 13,978.69

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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.