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Finding the Fourth Proportional to 9,024.79, 13,540.25 and 4,865.19

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Solution

The fourth proportional to 9,024.79, 13,540.25 and 4,865.19 is: 7,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.79 : 13,540.25 = 4,865.19 : x
  2. Step 2: Convert to fraction form
    9,024.79/13,540.25 = 4,865.19/x
  3. Step 3: Cross multiply
    9,024.79x = 13,540.25 × 4,865.19
  4. Step 4: Simplify right side
    9,024.79x = 65,875,951.84
  5. Step 5: Solve for x
    x = 65,875,951.84/9,024.79
  6. Step 6: Final answer
    x = 7,299.45

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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.