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Finding the Fourth Proportional to 6,157.82, 9,235.46 and 1,774.46

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Solution

The fourth proportional to 6,157.82, 9,235.46 and 1,774.46 is: 2,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.82 : 9,235.46 = 1,774.46 : x
  2. Step 2: Convert to fraction form
    6,157.82/9,235.46 = 1,774.46/x
  3. Step 3: Cross multiply
    6,157.82x = 9,235.46 × 1,774.46
  4. Step 4: Simplify right side
    6,157.82x = 16,387,954.35
  5. Step 5: Solve for x
    x = 16,387,954.35/6,157.82
  6. Step 6: Final answer
    x = 2,661.32

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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.