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Finding the Fourth Proportional to 35,766.56, 53,649.84 and 11,142.56

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Solution

The fourth proportional to 35,766.56, 53,649.84 and 11,142.56 is: 16,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766.56 : 53,649.84 = 11,142.56 : x
  2. Step 2: Convert to fraction form
    35,766.56/53,649.84 = 11,142.56/x
  3. Step 3: Cross multiply
    35,766.56x = 53,649.84 × 11,142.56
  4. Step 4: Simplify right side
    35,766.56x = 597,796,737.10
  5. Step 5: Solve for x
    x = 597,796,737.10/35,766.56
  6. Step 6: Final answer
    x = 16,713.84

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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.