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Finding the Fourth Proportional to 6,719.50, 10,077.32 and 2,038.10

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Solution

The fourth proportional to 6,719.50, 10,077.32 and 2,038.10 is: 3,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.50 : 10,077.32 = 2,038.10 : x
  2. Step 2: Convert to fraction form
    6,719.50/10,077.32 = 2,038.10/x
  3. Step 3: Cross multiply
    6,719.50x = 10,077.32 × 2,038.10
  4. Step 4: Simplify right side
    6,719.50x = 20,538,616.18
  5. Step 5: Solve for x
    x = 20,538,616.18/6,719.50
  6. Step 6: Final answer
    x = 3,056.57

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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.