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Finding the Fourth Proportional to 10,978.72, 15,150 and 6,263.44

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Solution

The fourth proportional to 10,978.72, 15,150 and 6,263.44 is: 8,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.72 : 15,150 = 6,263.44 : x
  2. Step 2: Convert to fraction form
    10,978.72/15,150 = 6,263.44/x
  3. Step 3: Cross multiply
    10,978.72x = 15,150 × 6,263.44
  4. Step 4: Simplify right side
    10,978.72x = 94,891,116
  5. Step 5: Solve for x
    x = 94,891,116/10,978.72
  6. Step 6: Final answer
    x = 8,643.19

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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.