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Finding the Fourth Proportional to 6,002.50, 9,005.19 and 1,898.50

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Solution

The fourth proportional to 6,002.50, 9,005.19 and 1,898.50 is: 2,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.50 : 9,005.19 = 1,898.50 : x
  2. Step 2: Convert to fraction form
    6,002.50/9,005.19 = 1,898.50/x
  3. Step 3: Cross multiply
    6,002.50x = 9,005.19 × 1,898.50
  4. Step 4: Simplify right side
    6,002.50x = 17,096,353.22
  5. Step 5: Solve for x
    x = 17,096,353.22/6,002.50
  6. Step 6: Final answer
    x = 2,848.21

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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.