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Finding the Fourth Proportional to 35,782.88, 53,674.34 and 11,158.88

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Solution

The fourth proportional to 35,782.88, 53,674.34 and 11,158.88 is: 16,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.88 : 53,674.34 = 11,158.88 : x
  2. Step 2: Convert to fraction form
    35,782.88/53,674.34 = 11,158.88/x
  3. Step 3: Cross multiply
    35,782.88x = 53,674.34 × 11,158.88
  4. Step 4: Simplify right side
    35,782.88x = 598,945,194.97
  5. Step 5: Solve for x
    x = 598,945,194.97/35,782.88
  6. Step 6: Final answer
    x = 16,738.32

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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.