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Finding the Fourth Proportional to 18,574, 27,862.28 and 6,090.72

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Solution

The fourth proportional to 18,574, 27,862.28 and 6,090.72 is: 9,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,574 : 27,862.28 = 6,090.72 : x
  2. Step 2: Convert to fraction form
    18,574/27,862.28 = 6,090.72/x
  3. Step 3: Cross multiply
    18,574x = 27,862.28 × 6,090.72
  4. Step 4: Simplify right side
    18,574x = 169,701,346.04
  5. Step 5: Solve for x
    x = 169,701,346.04/18,574
  6. Step 6: Final answer
    x = 9,136.50

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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.