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Finding the Fourth Proportional to 10,699.57, 16,048.14 and 2,906.56

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Solution

The fourth proportional to 10,699.57, 16,048.14 and 2,906.56 is: 4,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.57 : 16,048.14 = 2,906.56 : x
  2. Step 2: Convert to fraction form
    10,699.57/16,048.14 = 2,906.56/x
  3. Step 3: Cross multiply
    10,699.57x = 16,048.14 × 2,906.56
  4. Step 4: Simplify right side
    10,699.57x = 46,644,881.80
  5. Step 5: Solve for x
    x = 46,644,881.80/10,699.57
  6. Step 6: Final answer
    x = 4,359.51

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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.