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Finding the Fourth Proportional to 10,700.14, 16,050.16 and 2,908.96

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Solution

The fourth proportional to 10,700.14, 16,050.16 and 2,908.96 is: 4,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.14 : 16,050.16 = 2,908.96 : x
  2. Step 2: Convert to fraction form
    10,700.14/16,050.16 = 2,908.96/x
  3. Step 3: Cross multiply
    10,700.14x = 16,050.16 × 2,908.96
  4. Step 4: Simplify right side
    10,700.14x = 46,689,273.43
  5. Step 5: Solve for x
    x = 46,689,273.43/10,700.14
  6. Step 6: Final answer
    x = 4,363.43

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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.