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Finding the Fourth Proportional to 9,977.70, 14,978.70 and 5,044.80

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Solution

The fourth proportional to 9,977.70, 14,978.70 and 5,044.80 is: 7,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.70 : 14,978.70 = 5,044.80 : x
  2. Step 2: Convert to fraction form
    9,977.70/14,978.70 = 5,044.80/x
  3. Step 3: Cross multiply
    9,977.70x = 14,978.70 × 5,044.80
  4. Step 4: Simplify right side
    9,977.70x = 75,564,545.76
  5. Step 5: Solve for x
    x = 75,564,545.76/9,977.70
  6. Step 6: Final answer
    x = 7,573.34

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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.