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Finding the Fourth Proportional to 10,809.76, 16,214.64 and 2,601.76

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Solution

The fourth proportional to 10,809.76, 16,214.64 and 2,601.76 is: 3,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.76 : 16,214.64 = 2,601.76 : x
  2. Step 2: Convert to fraction form
    10,809.76/16,214.64 = 2,601.76/x
  3. Step 3: Cross multiply
    10,809.76x = 16,214.64 × 2,601.76
  4. Step 4: Simplify right side
    10,809.76x = 42,186,601.77
  5. Step 5: Solve for x
    x = 42,186,601.77/10,809.76
  6. Step 6: Final answer
    x = 3,902.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.