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Finding the Fourth Proportional to 14,475.38, 19,976.02 and 7,851.38

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Solution

The fourth proportional to 14,475.38, 19,976.02 and 7,851.38 is: 10,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.38 : 19,976.02 = 7,851.38 : x
  2. Step 2: Convert to fraction form
    14,475.38/19,976.02 = 7,851.38/x
  3. Step 3: Cross multiply
    14,475.38x = 19,976.02 × 7,851.38
  4. Step 4: Simplify right side
    14,475.38x = 156,839,204.40
  5. Step 5: Solve for x
    x = 156,839,204.40/14,475.38
  6. Step 6: Final answer
    x = 10,834.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.