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Finding the Fourth Proportional to 11,776.77, 16,251.16 and 6,471.47

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Solution

The fourth proportional to 11,776.77, 16,251.16 and 6,471.47 is: 8,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.77 : 16,251.16 = 6,471.47 : x
  2. Step 2: Convert to fraction form
    11,776.77/16,251.16 = 6,471.47/x
  3. Step 3: Cross multiply
    11,776.77x = 16,251.16 × 6,471.47
  4. Step 4: Simplify right side
    11,776.77x = 105,168,894.41
  5. Step 5: Solve for x
    x = 105,168,894.41/11,776.77
  6. Step 6: Final answer
    x = 8,930.20

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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.