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Finding the Fourth Proportional to 9,574.52, 14,361.76 and 2,649

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Solution

The fourth proportional to 9,574.52, 14,361.76 and 2,649 is: 3,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.52 : 14,361.76 = 2,649 : x
  2. Step 2: Convert to fraction form
    9,574.52/14,361.76 = 2,649/x
  3. Step 3: Cross multiply
    9,574.52x = 14,361.76 × 2,649
  4. Step 4: Simplify right side
    9,574.52x = 38,044,302.24
  5. Step 5: Solve for x
    x = 38,044,302.24/9,574.52
  6. Step 6: Final answer
    x = 3,973.49

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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.