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Finding the Fourth Proportional to 22,465.02, 33,697.65 and 9,138.24

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Solution

The fourth proportional to 22,465.02, 33,697.65 and 9,138.24 is: 13,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.02 : 33,697.65 = 9,138.24 : x
  2. Step 2: Convert to fraction form
    22,465.02/33,697.65 = 9,138.24/x
  3. Step 3: Cross multiply
    22,465.02x = 33,697.65 × 9,138.24
  4. Step 4: Simplify right side
    22,465.02x = 307,937,351.82
  5. Step 5: Solve for x
    x = 307,937,351.82/22,465.02
  6. Step 6: Final answer
    x = 13,707.42

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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.