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Finding the Fourth Proportional to 6,853.75, 9,449.95 and 5,845.30

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Solution

The fourth proportional to 6,853.75, 9,449.95 and 5,845.30 is: 8,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.75 : 9,449.95 = 5,845.30 : x
  2. Step 2: Convert to fraction form
    6,853.75/9,449.95 = 5,845.30/x
  3. Step 3: Cross multiply
    6,853.75x = 9,449.95 × 5,845.30
  4. Step 4: Simplify right side
    6,853.75x = 55,237,792.74
  5. Step 5: Solve for x
    x = 55,237,792.74/6,853.75
  6. Step 6: Final answer
    x = 8,059.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.