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Finding the Fourth Proportional to 6,397.50, 9,598.26 and 2,015.80

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Solution

The fourth proportional to 6,397.50, 9,598.26 and 2,015.80 is: 3,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.50 : 9,598.26 = 2,015.80 : x
  2. Step 2: Convert to fraction form
    6,397.50/9,598.26 = 2,015.80/x
  3. Step 3: Cross multiply
    6,397.50x = 9,598.26 × 2,015.80
  4. Step 4: Simplify right side
    6,397.50x = 19,348,172.51
  5. Step 5: Solve for x
    x = 19,348,172.51/6,397.50
  6. Step 6: Final answer
    x = 3,024.33

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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.