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Finding the Fourth Proportional to 7,412.38, 10,224.63 and 4,894.50

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Solution

The fourth proportional to 7,412.38, 10,224.63 and 4,894.50 is: 6,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.38 : 10,224.63 = 4,894.50 : x
  2. Step 2: Convert to fraction form
    7,412.38/10,224.63 = 4,894.50/x
  3. Step 3: Cross multiply
    7,412.38x = 10,224.63 × 4,894.50
  4. Step 4: Simplify right side
    7,412.38x = 50,044,400.41
  5. Step 5: Solve for x
    x = 50,044,400.41/7,412.38
  6. Step 6: Final answer
    x = 6,751.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.