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Finding the Fourth Proportional to 6,849.58, 10,224.84 and 6,019.23

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Solution

The fourth proportional to 6,849.58, 10,224.84 and 6,019.23 is: 8,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.58 : 10,224.84 = 6,019.23 : x
  2. Step 2: Convert to fraction form
    6,849.58/10,224.84 = 6,019.23/x
  3. Step 3: Cross multiply
    6,849.58x = 10,224.84 × 6,019.23
  4. Step 4: Simplify right side
    6,849.58x = 61,545,663.67
  5. Step 5: Solve for x
    x = 61,545,663.67/6,849.58
  6. Step 6: Final answer
    x = 8,985.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.