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Finding the Fourth Proportional to 10,825.62, 14,928.98 and 6,577.38

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Solution

The fourth proportional to 10,825.62, 14,928.98 and 6,577.38 is: 9,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.62 : 14,928.98 = 6,577.38 : x
  2. Step 2: Convert to fraction form
    10,825.62/14,928.98 = 6,577.38/x
  3. Step 3: Cross multiply
    10,825.62x = 14,928.98 × 6,577.38
  4. Step 4: Simplify right side
    10,825.62x = 98,193,574.47
  5. Step 5: Solve for x
    x = 98,193,574.47/10,825.62
  6. Step 6: Final answer
    x = 9,070.48

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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.