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Finding the Fourth Proportional to 9,977.40, 14,964.89 and 5,044.50

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Solution

The fourth proportional to 9,977.40, 14,964.89 and 5,044.50 is: 7,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.40 : 14,964.89 = 5,044.50 : x
  2. Step 2: Convert to fraction form
    9,977.40/14,964.89 = 5,044.50/x
  3. Step 3: Cross multiply
    9,977.40x = 14,964.89 × 5,044.50
  4. Step 4: Simplify right side
    9,977.40x = 75,490,362.38
  5. Step 5: Solve for x
    x = 75,490,362.38/9,977.40
  6. Step 6: Final answer
    x = 7,566.14

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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.