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Finding the Fourth Proportional to 7,549.74, 10,424.86 and 4,901.67

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Solution

The fourth proportional to 7,549.74, 10,424.86 and 4,901.67 is: 6,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.74 : 10,424.86 = 4,901.67 : x
  2. Step 2: Convert to fraction form
    7,549.74/10,424.86 = 4,901.67/x
  3. Step 3: Cross multiply
    7,549.74x = 10,424.86 × 4,901.67
  4. Step 4: Simplify right side
    7,549.74x = 51,099,211.26
  5. Step 5: Solve for x
    x = 51,099,211.26/7,549.74
  6. Step 6: Final answer
    x = 6,768.34

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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.