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Finding the Fourth Proportional to 22,909.52, 34,362.64 and 7,114.12

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Solution

The fourth proportional to 22,909.52, 34,362.64 and 7,114.12 is: 10,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.52 : 34,362.64 = 7,114.12 : x
  2. Step 2: Convert to fraction form
    22,909.52/34,362.64 = 7,114.12/x
  3. Step 3: Cross multiply
    22,909.52x = 34,362.64 × 7,114.12
  4. Step 4: Simplify right side
    22,909.52x = 244,459,944.48
  5. Step 5: Solve for x
    x = 244,459,944.48/22,909.52
  6. Step 6: Final answer
    x = 10,670.67

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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.