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Finding the Fourth Proportional to 7,628.49, 10,527 and 4,270.70

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Solution

The fourth proportional to 7,628.49, 10,527 and 4,270.70 is: 5,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.49 : 10,527 = 4,270.70 : x
  2. Step 2: Convert to fraction form
    7,628.49/10,527 = 4,270.70/x
  3. Step 3: Cross multiply
    7,628.49x = 10,527 × 4,270.70
  4. Step 4: Simplify right side
    7,628.49x = 44,957,606.27
  5. Step 5: Solve for x
    x = 44,957,606.27/7,628.49
  6. Step 6: Final answer
    x = 5,893.38

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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.