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Finding the Fourth Proportional to 10,258.04, 14,151.08 and 6,479.39

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Solution

The fourth proportional to 10,258.04, 14,151.08 and 6,479.39 is: 8,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.04 : 14,151.08 = 6,479.39 : x
  2. Step 2: Convert to fraction form
    10,258.04/14,151.08 = 6,479.39/x
  3. Step 3: Cross multiply
    10,258.04x = 14,151.08 × 6,479.39
  4. Step 4: Simplify right side
    10,258.04x = 91,690,263.09
  5. Step 5: Solve for x
    x = 91,690,263.09/10,258.04
  6. Step 6: Final answer
    x = 8,938.38

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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.