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Finding the Fourth Proportional to 5,101.88, 7,651.90 and 1,403.63

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Solution

The fourth proportional to 5,101.88, 7,651.90 and 1,403.63 is: 2,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.88 : 7,651.90 = 1,403.63 : x
  2. Step 2: Convert to fraction form
    5,101.88/7,651.90 = 1,403.63/x
  3. Step 3: Cross multiply
    5,101.88x = 7,651.90 × 1,403.63
  4. Step 4: Simplify right side
    5,101.88x = 10,740,436.40
  5. Step 5: Solve for x
    x = 10,740,436.40/5,101.88
  6. Step 6: Final answer
    x = 2,105.19

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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.