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Finding the Fourth Proportional to 4,561.42, 6,845.46 and 4,289.26

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Solution

The fourth proportional to 4,561.42, 6,845.46 and 4,289.26 is: 6,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.42 : 6,845.46 = 4,289.26 : x
  2. Step 2: Convert to fraction form
    4,561.42/6,845.46 = 4,289.26/x
  3. Step 3: Cross multiply
    4,561.42x = 6,845.46 × 4,289.26
  4. Step 4: Simplify right side
    4,561.42x = 29,361,957.76
  5. Step 5: Solve for x
    x = 29,361,957.76/4,561.42
  6. Step 6: Final answer
    x = 6,437.02

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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.