Home / 6,738-9,298.08-3,713.02

Finding the Fourth Proportional to 6,738, 9,298.08 and 3,713.02

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Solution

The fourth proportional to 6,738, 9,298.08 and 3,713.02 is: 5,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738 : 9,298.08 = 3,713.02 : x
  2. Step 2: Convert to fraction form
    6,738/9,298.08 = 3,713.02/x
  3. Step 3: Cross multiply
    6,738x = 9,298.08 × 3,713.02
  4. Step 4: Simplify right side
    6,738x = 34,523,957.00
  5. Step 5: Solve for x
    x = 34,523,957.00/6,738
  6. Step 6: Final answer
    x = 5,123.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.