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Finding the Fourth Proportional to 22,909.40, 34,369.01 and 7,114.10

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Solution

The fourth proportional to 22,909.40, 34,369.01 and 7,114.10 is: 10,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.40 : 34,369.01 = 7,114.10 : x
  2. Step 2: Convert to fraction form
    22,909.40/34,369.01 = 7,114.10/x
  3. Step 3: Cross multiply
    22,909.40x = 34,369.01 × 7,114.10
  4. Step 4: Simplify right side
    22,909.40x = 244,504,538.47
  5. Step 5: Solve for x
    x = 244,504,538.47/22,909.40
  6. Step 6: Final answer
    x = 10,672.67

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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.