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Finding the Fourth Proportional to 9,673, 13,348.74 and 5,257

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Solution

The fourth proportional to 9,673, 13,348.74 and 5,257 is: 7,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673 : 13,348.74 = 5,257 : x
  2. Step 2: Convert to fraction form
    9,673/13,348.74 = 5,257/x
  3. Step 3: Cross multiply
    9,673x = 13,348.74 × 5,257
  4. Step 4: Simplify right side
    9,673x = 70,174,326.18
  5. Step 5: Solve for x
    x = 70,174,326.18/9,673
  6. Step 6: Final answer
    x = 7,254.66

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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.