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Finding the Fourth Proportional to 4,934.34, 7,402.74 and 1,471.60

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Solution

The fourth proportional to 4,934.34, 7,402.74 and 1,471.60 is: 2,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.34 : 7,402.74 = 1,471.60 : x
  2. Step 2: Convert to fraction form
    4,934.34/7,402.74 = 1,471.60/x
  3. Step 3: Cross multiply
    4,934.34x = 7,402.74 × 1,471.60
  4. Step 4: Simplify right side
    4,934.34x = 10,893,872.18
  5. Step 5: Solve for x
    x = 10,893,872.18/4,934.34
  6. Step 6: Final answer
    x = 2,207.77

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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.