Home / 11,802.72-16,288.44-6,498

Finding the Fourth Proportional to 11,802.72, 16,288.44 and 6,498

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Solution

The fourth proportional to 11,802.72, 16,288.44 and 6,498 is: 8,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.72 : 16,288.44 = 6,498 : x
  2. Step 2: Convert to fraction form
    11,802.72/16,288.44 = 6,498/x
  3. Step 3: Cross multiply
    11,802.72x = 16,288.44 × 6,498
  4. Step 4: Simplify right side
    11,802.72x = 105,842,283.12
  5. Step 5: Solve for x
    x = 105,842,283.12/11,802.72
  6. Step 6: Final answer
    x = 8,967.62

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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.