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Finding the Fourth Proportional to 6,848.69, 10,223.49 and 6,018.32

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Solution

The fourth proportional to 6,848.69, 10,223.49 and 6,018.32 is: 8,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.69 : 10,223.49 = 6,018.32 : x
  2. Step 2: Convert to fraction form
    6,848.69/10,223.49 = 6,018.32/x
  3. Step 3: Cross multiply
    6,848.69x = 10,223.49 × 6,018.32
  4. Step 4: Simplify right side
    6,848.69x = 61,528,234.34
  5. Step 5: Solve for x
    x = 61,528,234.34/6,848.69
  6. Step 6: Final answer
    x = 8,983.94

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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.