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Finding the Fourth Proportional to 10,479.74, 14,465.88 and 6,944.09

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Solution

The fourth proportional to 10,479.74, 14,465.88 and 6,944.09 is: 9,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.74 : 14,465.88 = 6,944.09 : x
  2. Step 2: Convert to fraction form
    10,479.74/14,465.88 = 6,944.09/x
  3. Step 3: Cross multiply
    10,479.74x = 14,465.88 × 6,944.09
  4. Step 4: Simplify right side
    10,479.74x = 100,452,300.32
  5. Step 5: Solve for x
    x = 100,452,300.32/10,479.74
  6. Step 6: Final answer
    x = 9,585.39

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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.