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Finding the Fourth Proportional to 6,994.74, 10,489.04 and 3,707.08

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Solution

The fourth proportional to 6,994.74, 10,489.04 and 3,707.08 is: 5,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.74 : 10,489.04 = 3,707.08 : x
  2. Step 2: Convert to fraction form
    6,994.74/10,489.04 = 3,707.08/x
  3. Step 3: Cross multiply
    6,994.74x = 10,489.04 × 3,707.08
  4. Step 4: Simplify right side
    6,994.74x = 38,883,710.40
  5. Step 5: Solve for x
    x = 38,883,710.40/6,994.74
  6. Step 6: Final answer
    x = 5,558.99

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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.