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Finding the Fourth Proportional to 4,562.58, 6,847.71 and 4,274.58

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Solution

The fourth proportional to 4,562.58, 6,847.71 and 4,274.58 is: 6,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.58 : 6,847.71 = 4,274.58 : x
  2. Step 2: Convert to fraction form
    4,562.58/6,847.71 = 4,274.58/x
  3. Step 3: Cross multiply
    4,562.58x = 6,847.71 × 4,274.58
  4. Step 4: Simplify right side
    4,562.58x = 29,271,084.21
  5. Step 5: Solve for x
    x = 29,271,084.21/4,562.58
  6. Step 6: Final answer
    x = 6,415.47

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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.