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Finding the Fourth Proportional to 35,728.50, 53,592.78 and 9,076.50

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Solution

The fourth proportional to 35,728.50, 53,592.78 and 9,076.50 is: 13,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728.50 : 53,592.78 = 9,076.50 : x
  2. Step 2: Convert to fraction form
    35,728.50/53,592.78 = 9,076.50/x
  3. Step 3: Cross multiply
    35,728.50x = 53,592.78 × 9,076.50
  4. Step 4: Simplify right side
    35,728.50x = 486,434,867.67
  5. Step 5: Solve for x
    x = 486,434,867.67/35,728.50
  6. Step 6: Final answer
    x = 13,614.76

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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.