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Finding the Fourth Proportional to 4,897, 7,340.47 and 1,934.24

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Solution

The fourth proportional to 4,897, 7,340.47 and 1,934.24 is: 2,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897 : 7,340.47 = 1,934.24 : x
  2. Step 2: Convert to fraction form
    4,897/7,340.47 = 1,934.24/x
  3. Step 3: Cross multiply
    4,897x = 7,340.47 × 1,934.24
  4. Step 4: Simplify right side
    4,897x = 14,198,230.69
  5. Step 5: Solve for x
    x = 14,198,230.69/4,897
  6. Step 6: Final answer
    x = 2,899.37

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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.