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Finding the Fourth Proportional to 10,476.39, 14,458.74 and 6,498.11

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Solution

The fourth proportional to 10,476.39, 14,458.74 and 6,498.11 is: 8,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.39 : 14,458.74 = 6,498.11 : x
  2. Step 2: Convert to fraction form
    10,476.39/14,458.74 = 6,498.11/x
  3. Step 3: Cross multiply
    10,476.39x = 14,458.74 × 6,498.11
  4. Step 4: Simplify right side
    10,476.39x = 93,954,413.43
  5. Step 5: Solve for x
    x = 93,954,413.43/10,476.39
  6. Step 6: Final answer
    x = 8,968.21

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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.