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Finding the Fourth Proportional to 9,750.70, 14,605.08 and 5,579

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Solution

The fourth proportional to 9,750.70, 14,605.08 and 5,579 is: 8,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.70 : 14,605.08 = 5,579 : x
  2. Step 2: Convert to fraction form
    9,750.70/14,605.08 = 5,579/x
  3. Step 3: Cross multiply
    9,750.70x = 14,605.08 × 5,579
  4. Step 4: Simplify right side
    9,750.70x = 81,481,741.32
  5. Step 5: Solve for x
    x = 81,481,741.32/9,750.70
  6. Step 6: Final answer
    x = 8,356.50

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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.