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Finding the Fourth Proportional to 5,970.51, 8,952.12 and 2,270.84

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Solution

The fourth proportional to 5,970.51, 8,952.12 and 2,270.84 is: 3,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.51 : 8,952.12 = 2,270.84 : x
  2. Step 2: Convert to fraction form
    5,970.51/8,952.12 = 2,270.84/x
  3. Step 3: Cross multiply
    5,970.51x = 8,952.12 × 2,270.84
  4. Step 4: Simplify right side
    5,970.51x = 20,328,787.42
  5. Step 5: Solve for x
    x = 20,328,787.42/5,970.51
  6. Step 6: Final answer
    x = 3,404.87

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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.