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Finding the Fourth Proportional to 11,797.78, 16,281 and 6,492.46

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Solution

The fourth proportional to 11,797.78, 16,281 and 6,492.46 is: 8,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.78 : 16,281 = 6,492.46 : x
  2. Step 2: Convert to fraction form
    11,797.78/16,281 = 6,492.46/x
  3. Step 3: Cross multiply
    11,797.78x = 16,281 × 6,492.46
  4. Step 4: Simplify right side
    11,797.78x = 105,703,741.26
  5. Step 5: Solve for x
    x = 105,703,741.26/11,797.78
  6. Step 6: Final answer
    x = 8,959.63

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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.