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Finding the Fourth Proportional to 4,944.73, 7,417.10 and 1,434.94

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Solution

The fourth proportional to 4,944.73, 7,417.10 and 1,434.94 is: 2,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.73 : 7,417.10 = 1,434.94 : x
  2. Step 2: Convert to fraction form
    4,944.73/7,417.10 = 1,434.94/x
  3. Step 3: Cross multiply
    4,944.73x = 7,417.10 × 1,434.94
  4. Step 4: Simplify right side
    4,944.73x = 10,643,093.47
  5. Step 5: Solve for x
    x = 10,643,093.47/4,944.73
  6. Step 6: Final answer
    x = 2,152.41

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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.