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Finding the Fourth Proportional to 9,674.84, 14,510.82 and 3,100.34

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Solution

The fourth proportional to 9,674.84, 14,510.82 and 3,100.34 is: 4,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.84 : 14,510.82 = 3,100.34 : x
  2. Step 2: Convert to fraction form
    9,674.84/14,510.82 = 3,100.34/x
  3. Step 3: Cross multiply
    9,674.84x = 14,510.82 × 3,100.34
  4. Step 4: Simplify right side
    9,674.84x = 44,988,475.68
  5. Step 5: Solve for x
    x = 44,988,475.68/9,674.84
  6. Step 6: Final answer
    x = 4,650.05

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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.