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Finding the Fourth Proportional to 6,415.40, 9,616.50 and 4,077.12

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Solution

The fourth proportional to 6,415.40, 9,616.50 and 4,077.12 is: 6,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.40 : 9,616.50 = 4,077.12 : x
  2. Step 2: Convert to fraction form
    6,415.40/9,616.50 = 4,077.12/x
  3. Step 3: Cross multiply
    6,415.40x = 9,616.50 × 4,077.12
  4. Step 4: Simplify right side
    6,415.40x = 39,207,624.48
  5. Step 5: Solve for x
    x = 39,207,624.48/6,415.40
  6. Step 6: Final answer
    x = 6,111.49

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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.