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Finding the Fourth Proportional to 10,490.44, 15,713 and 4,935.46

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Solution

The fourth proportional to 10,490.44, 15,713 and 4,935.46 is: 7,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.44 : 15,713 = 4,935.46 : x
  2. Step 2: Convert to fraction form
    10,490.44/15,713 = 4,935.46/x
  3. Step 3: Cross multiply
    10,490.44x = 15,713 × 4,935.46
  4. Step 4: Simplify right side
    10,490.44x = 77,550,804.42
  5. Step 5: Solve for x
    x = 77,550,804.42/10,490.44
  6. Step 6: Final answer
    x = 7,392.53

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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.