Home / 6,461.14-9,692.64-2,077.14

Finding the Fourth Proportional to 6,461.14, 9,692.64 and 2,077.14

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Solution

The fourth proportional to 6,461.14, 9,692.64 and 2,077.14 is: 3,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.14 : 9,692.64 = 2,077.14 : x
  2. Step 2: Convert to fraction form
    6,461.14/9,692.64 = 2,077.14/x
  3. Step 3: Cross multiply
    6,461.14x = 9,692.64 × 2,077.14
  4. Step 4: Simplify right side
    6,461.14x = 20,132,970.25
  5. Step 5: Solve for x
    x = 20,132,970.25/6,461.14
  6. Step 6: Final answer
    x = 3,116.01

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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.