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Finding the Fourth Proportional to 6,348.88, 9,511.80 and 4,978

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Solution

The fourth proportional to 6,348.88, 9,511.80 and 4,978 is: 7,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.88 : 9,511.80 = 4,978 : x
  2. Step 2: Convert to fraction form
    6,348.88/9,511.80 = 4,978/x
  3. Step 3: Cross multiply
    6,348.88x = 9,511.80 × 4,978
  4. Step 4: Simplify right side
    6,348.88x = 47,349,740.40
  5. Step 5: Solve for x
    x = 47,349,740.40/6,348.88
  6. Step 6: Final answer
    x = 7,457.97

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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.