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Finding the Fourth Proportional to 11,797, 16,280.24 and 6,492.20

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Solution

The fourth proportional to 11,797, 16,280.24 and 6,492.20 is: 8,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797 : 16,280.24 = 6,492.20 : x
  2. Step 2: Convert to fraction form
    11,797/16,280.24 = 6,492.20/x
  3. Step 3: Cross multiply
    11,797x = 16,280.24 × 6,492.20
  4. Step 4: Simplify right side
    11,797x = 105,694,574.13
  5. Step 5: Solve for x
    x = 105,694,574.13/11,797
  6. Step 6: Final answer
    x = 8,959.45

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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.