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Finding the Fourth Proportional to 6,984, 10,477.20 and 3,035.04

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Solution

The fourth proportional to 6,984, 10,477.20 and 3,035.04 is: 4,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 10,477.20 = 3,035.04 : x
  2. Step 2: Convert to fraction form
    6,984/10,477.20 = 3,035.04/x
  3. Step 3: Cross multiply
    6,984x = 10,477.20 × 3,035.04
  4. Step 4: Simplify right side
    6,984x = 31,798,721.09
  5. Step 5: Solve for x
    x = 31,798,721.09/6,984
  6. Step 6: Final answer
    x = 4,553.08

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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.