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Finding the Fourth Proportional to 18,187.36, 27,294 and 7,802.08

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Solution

The fourth proportional to 18,187.36, 27,294 and 7,802.08 is: 11,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,187.36 : 27,294 = 7,802.08 : x
  2. Step 2: Convert to fraction form
    18,187.36/27,294 = 7,802.08/x
  3. Step 3: Cross multiply
    18,187.36x = 27,294 × 7,802.08
  4. Step 4: Simplify right side
    18,187.36x = 212,949,971.52
  5. Step 5: Solve for x
    x = 212,949,971.52/18,187.36
  6. Step 6: Final answer
    x = 11,708.68

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1.5x scale

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.