Home / 10,023.88-13,838.52-6,046

Finding the Fourth Proportional to 10,023.88, 13,838.52 and 6,046

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Solution

The fourth proportional to 10,023.88, 13,838.52 and 6,046 is: 8,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.88 : 13,838.52 = 6,046 : x
  2. Step 2: Convert to fraction form
    10,023.88/13,838.52 = 6,046/x
  3. Step 3: Cross multiply
    10,023.88x = 13,838.52 × 6,046
  4. Step 4: Simplify right side
    10,023.88x = 83,667,691.92
  5. Step 5: Solve for x
    x = 83,667,691.92/10,023.88
  6. Step 6: Final answer
    x = 8,346.84

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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.