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Finding the Fourth Proportional to 6,623.66, 9,926.24 and 4,978.28

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Solution

The fourth proportional to 6,623.66, 9,926.24 and 4,978.28 is: 7,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623.66 : 9,926.24 = 4,978.28 : x
  2. Step 2: Convert to fraction form
    6,623.66/9,926.24 = 4,978.28/x
  3. Step 3: Cross multiply
    6,623.66x = 9,926.24 × 4,978.28
  4. Step 4: Simplify right side
    6,623.66x = 49,415,564.88
  5. Step 5: Solve for x
    x = 49,415,564.88/6,623.66
  6. Step 6: Final answer
    x = 7,460.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.