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Finding the Fourth Proportional to 6,217.53, 8,578.74 and 4,539.84

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Solution

The fourth proportional to 6,217.53, 8,578.74 and 4,539.84 is: 6,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.53 : 8,578.74 = 4,539.84 : x
  2. Step 2: Convert to fraction form
    6,217.53/8,578.74 = 4,539.84/x
  3. Step 3: Cross multiply
    6,217.53x = 8,578.74 × 4,539.84
  4. Step 4: Simplify right side
    6,217.53x = 38,946,107.00
  5. Step 5: Solve for x
    x = 38,946,107.00/6,217.53
  6. Step 6: Final answer
    x = 6,263.92

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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.