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Finding the Fourth Proportional to 22,455.70, 33,695.70 and 9,309.40

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Solution

The fourth proportional to 22,455.70, 33,695.70 and 9,309.40 is: 13,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,455.70 : 33,695.70 = 9,309.40 : x
  2. Step 2: Convert to fraction form
    22,455.70/33,695.70 = 9,309.40/x
  3. Step 3: Cross multiply
    22,455.70x = 33,695.70 × 9,309.40
  4. Step 4: Simplify right side
    22,455.70x = 313,686,749.58
  5. Step 5: Solve for x
    x = 313,686,749.58/22,455.70
  6. Step 6: Final answer
    x = 13,969.14

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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.