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Finding the Fourth Proportional to 7,096.84, 10,644.04 and 1,901.50

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Solution

The fourth proportional to 7,096.84, 10,644.04 and 1,901.50 is: 2,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.84 : 10,644.04 = 1,901.50 : x
  2. Step 2: Convert to fraction form
    7,096.84/10,644.04 = 1,901.50/x
  3. Step 3: Cross multiply
    7,096.84x = 10,644.04 × 1,901.50
  4. Step 4: Simplify right side
    7,096.84x = 20,239,642.06
  5. Step 5: Solve for x
    x = 20,239,642.06/7,096.84
  6. Step 6: Final answer
    x = 2,851.92

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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.