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Finding the Fourth Proportional to 8,028.92, 11,080.11 and 4,492.10

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Solution

The fourth proportional to 8,028.92, 11,080.11 and 4,492.10 is: 6,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.92 : 11,080.11 = 4,492.10 : x
  2. Step 2: Convert to fraction form
    8,028.92/11,080.11 = 4,492.10/x
  3. Step 3: Cross multiply
    8,028.92x = 11,080.11 × 4,492.10
  4. Step 4: Simplify right side
    8,028.92x = 49,772,962.13
  5. Step 5: Solve for x
    x = 49,772,962.13/8,028.92
  6. Step 6: Final answer
    x = 6,199.21

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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.