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Finding the Fourth Proportional to 22,861.31, 34,261.90 and 9,697.40

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Solution

The fourth proportional to 22,861.31, 34,261.90 and 9,697.40 is: 14,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.31 : 34,261.90 = 9,697.40 : x
  2. Step 2: Convert to fraction form
    22,861.31/34,261.90 = 9,697.40/x
  3. Step 3: Cross multiply
    22,861.31x = 34,261.90 × 9,697.40
  4. Step 4: Simplify right side
    22,861.31x = 332,251,153.51
  5. Step 5: Solve for x
    x = 332,251,153.51/22,861.31
  6. Step 6: Final answer
    x = 14,533.34

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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.