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Finding the Fourth Proportional to 9,993.48, 14,958.48 and 5,597.52

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Solution

The fourth proportional to 9,993.48, 14,958.48 and 5,597.52 is: 8,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.48 : 14,958.48 = 5,597.52 : x
  2. Step 2: Convert to fraction form
    9,993.48/14,958.48 = 5,597.52/x
  3. Step 3: Cross multiply
    9,993.48x = 14,958.48 × 5,597.52
  4. Step 4: Simplify right side
    9,993.48x = 83,730,390.97
  5. Step 5: Solve for x
    x = 83,730,390.97/9,993.48
  6. Step 6: Final answer
    x = 8,378.50

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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.