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Finding the Fourth Proportional to 10,451.84, 15,677.84 and 2,660.64

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Solution

The fourth proportional to 10,451.84, 15,677.84 and 2,660.64 is: 3,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.84 : 15,677.84 = 2,660.64 : x
  2. Step 2: Convert to fraction form
    10,451.84/15,677.84 = 2,660.64/x
  3. Step 3: Cross multiply
    10,451.84x = 15,677.84 × 2,660.64
  4. Step 4: Simplify right side
    10,451.84x = 41,713,088.22
  5. Step 5: Solve for x
    x = 41,713,088.22/10,451.84
  6. Step 6: Final answer
    x = 3,990.98

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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.