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Finding the Fourth Proportional to 15,812.16, 21,819.92 and 8,738.13

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Solution

The fourth proportional to 15,812.16, 21,819.92 and 8,738.13 is: 12,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.16 : 21,819.92 = 8,738.13 : x
  2. Step 2: Convert to fraction form
    15,812.16/21,819.92 = 8,738.13/x
  3. Step 3: Cross multiply
    15,812.16x = 21,819.92 × 8,738.13
  4. Step 4: Simplify right side
    15,812.16x = 190,665,210.30
  5. Step 5: Solve for x
    x = 190,665,210.30/15,812.16
  6. Step 6: Final answer
    x = 12,058.14

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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.