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Finding the Fourth Proportional to 27,284, 37,651.36 and 15,184.32

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Solution

The fourth proportional to 27,284, 37,651.36 and 15,184.32 is: 20,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284 : 37,651.36 = 15,184.32 : x
  2. Step 2: Convert to fraction form
    27,284/37,651.36 = 15,184.32/x
  3. Step 3: Cross multiply
    27,284x = 37,651.36 × 15,184.32
  4. Step 4: Simplify right side
    27,284x = 571,710,298.68
  5. Step 5: Solve for x
    x = 571,710,298.68/27,284
  6. Step 6: Final answer
    x = 20,954.05

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1.5x scale

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.