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Finding the Fourth Proportional to 35,993.46, 53,991.46 and 9,698.84

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Solution

The fourth proportional to 35,993.46, 53,991.46 and 9,698.84 is: 14,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993.46 : 53,991.46 = 9,698.84 : x
  2. Step 2: Convert to fraction form
    35,993.46/53,991.46 = 9,698.84/x
  3. Step 3: Cross multiply
    35,993.46x = 53,991.46 × 9,698.84
  4. Step 4: Simplify right side
    35,993.46x = 523,654,531.91
  5. Step 5: Solve for x
    x = 523,654,531.91/35,993.46
  6. Step 6: Final answer
    x = 14,548.60

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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.