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Finding the Fourth Proportional to 6,072.70, 9,113.10 and 2,784.10

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Solution

The fourth proportional to 6,072.70, 9,113.10 and 2,784.10 is: 4,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.70 : 9,113.10 = 2,784.10 : x
  2. Step 2: Convert to fraction form
    6,072.70/9,113.10 = 2,784.10/x
  3. Step 3: Cross multiply
    6,072.70x = 9,113.10 × 2,784.10
  4. Step 4: Simplify right side
    6,072.70x = 25,371,781.71
  5. Step 5: Solve for x
    x = 25,371,781.71/6,072.70
  6. Step 6: Final answer
    x = 4,178.01

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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.