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Finding the Fourth Proportional to 6,182.80, 8,523.48 and 3,823.60

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Solution

The fourth proportional to 6,182.80, 8,523.48 and 3,823.60 is: 5,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.80 : 8,523.48 = 3,823.60 : x
  2. Step 2: Convert to fraction form
    6,182.80/8,523.48 = 3,823.60/x
  3. Step 3: Cross multiply
    6,182.80x = 8,523.48 × 3,823.60
  4. Step 4: Simplify right side
    6,182.80x = 32,590,378.13
  5. Step 5: Solve for x
    x = 32,590,378.13/6,182.80
  6. Step 6: Final answer
    x = 5,271.14

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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.