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Finding the Fourth Proportional to 11,778.10, 16,254.03 and 6,473

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Solution

The fourth proportional to 11,778.10, 16,254.03 and 6,473 is: 8,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.10 : 16,254.03 = 6,473 : x
  2. Step 2: Convert to fraction form
    11,778.10/16,254.03 = 6,473/x
  3. Step 3: Cross multiply
    11,778.10x = 16,254.03 × 6,473
  4. Step 4: Simplify right side
    11,778.10x = 105,212,336.19
  5. Step 5: Solve for x
    x = 105,212,336.19/11,778.10
  6. Step 6: Final answer
    x = 8,932.88

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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.