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Finding the Fourth Proportional to 6,908.74, 9,530.79 and 4,671.39

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Solution

The fourth proportional to 6,908.74, 9,530.79 and 4,671.39 is: 6,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.74 : 9,530.79 = 4,671.39 : x
  2. Step 2: Convert to fraction form
    6,908.74/9,530.79 = 4,671.39/x
  3. Step 3: Cross multiply
    6,908.74x = 9,530.79 × 4,671.39
  4. Step 4: Simplify right side
    6,908.74x = 44,522,037.10
  5. Step 5: Solve for x
    x = 44,522,037.10/6,908.74
  6. Step 6: Final answer
    x = 6,444.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.