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Finding the Fourth Proportional to 4,944.24, 7,406.10 and 4,774.14

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Solution

The fourth proportional to 4,944.24, 7,406.10 and 4,774.14 is: 7,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.24 : 7,406.10 = 4,774.14 : x
  2. Step 2: Convert to fraction form
    4,944.24/7,406.10 = 4,774.14/x
  3. Step 3: Cross multiply
    4,944.24x = 7,406.10 × 4,774.14
  4. Step 4: Simplify right side
    4,944.24x = 35,357,758.25
  5. Step 5: Solve for x
    x = 35,357,758.25/4,944.24
  6. Step 6: Final answer
    x = 7,151.30

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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.