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Finding the Fourth Proportional to 10,615.02, 15,929.91 and 6,180.06

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Solution

The fourth proportional to 10,615.02, 15,929.91 and 6,180.06 is: 9,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.02 : 15,929.91 = 6,180.06 : x
  2. Step 2: Convert to fraction form
    10,615.02/15,929.91 = 6,180.06/x
  3. Step 3: Cross multiply
    10,615.02x = 15,929.91 × 6,180.06
  4. Step 4: Simplify right side
    10,615.02x = 98,447,799.59
  5. Step 5: Solve for x
    x = 98,447,799.59/10,615.02
  6. Step 6: Final answer
    x = 9,274.39

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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.