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Finding the Fourth Proportional to 4,644.67, 6,970.46 and 2,892.23

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Solution

The fourth proportional to 4,644.67, 6,970.46 and 2,892.23 is: 4,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.67 : 6,970.46 = 2,892.23 : x
  2. Step 2: Convert to fraction form
    4,644.67/6,970.46 = 2,892.23/x
  3. Step 3: Cross multiply
    4,644.67x = 6,970.46 × 2,892.23
  4. Step 4: Simplify right side
    4,644.67x = 20,160,124.21
  5. Step 5: Solve for x
    x = 20,160,124.21/4,644.67
  6. Step 6: Final answer
    x = 4,340.49

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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.