Home / 10,097.92-13,937.28-6,784

Finding the Fourth Proportional to 10,097.92, 13,937.28 and 6,784

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Solution

The fourth proportional to 10,097.92, 13,937.28 and 6,784 is: 9,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.92 : 13,937.28 = 6,784 : x
  2. Step 2: Convert to fraction form
    10,097.92/13,937.28 = 6,784/x
  3. Step 3: Cross multiply
    10,097.92x = 13,937.28 × 6,784
  4. Step 4: Simplify right side
    10,097.92x = 94,550,507.52
  5. Step 5: Solve for x
    x = 94,550,507.52/10,097.92
  6. Step 6: Final answer
    x = 9,363.36

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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.