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Finding the Fourth Proportional to 35,993.21, 53,991.08 and 9,698.58

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Solution

The fourth proportional to 35,993.21, 53,991.08 and 9,698.58 is: 14,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993.21 : 53,991.08 = 9,698.58 : x
  2. Step 2: Convert to fraction form
    35,993.21/53,991.08 = 9,698.58/x
  3. Step 3: Cross multiply
    35,993.21x = 53,991.08 × 9,698.58
  4. Step 4: Simplify right side
    35,993.21x = 523,636,760.17
  5. Step 5: Solve for x
    x = 523,636,760.17/35,993.21
  6. Step 6: Final answer
    x = 14,548.21

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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.