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Finding the Fourth Proportional to 6,994.52, 10,477.94 and 4,531.08

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Solution

The fourth proportional to 6,994.52, 10,477.94 and 4,531.08 is: 6,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.52 : 10,477.94 = 4,531.08 : x
  2. Step 2: Convert to fraction form
    6,994.52/10,477.94 = 4,531.08/x
  3. Step 3: Cross multiply
    6,994.52x = 10,477.94 × 4,531.08
  4. Step 4: Simplify right side
    6,994.52x = 47,476,384.38
  5. Step 5: Solve for x
    x = 47,476,384.38/6,994.52
  6. Step 6: Final answer
    x = 6,787.65

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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.