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Finding the Fourth Proportional to 3,156.14, 4,734.21 and 847.64

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Solution

The fourth proportional to 3,156.14, 4,734.21 and 847.64 is: 1,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.14 : 4,734.21 = 847.64 : x
  2. Step 2: Convert to fraction form
    3,156.14/4,734.21 = 847.64/x
  3. Step 3: Cross multiply
    3,156.14x = 4,734.21 × 847.64
  4. Step 4: Simplify right side
    3,156.14x = 4,012,882.09
  5. Step 5: Solve for x
    x = 4,012,882.09/3,156.14
  6. Step 6: Final answer
    x = 1,271.45

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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.