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Finding the Fourth Proportional to 4,947.06, 7,391.61 and 4,774.92

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Solution

The fourth proportional to 4,947.06, 7,391.61 and 4,774.92 is: 7,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.06 : 7,391.61 = 4,774.92 : x
  2. Step 2: Convert to fraction form
    4,947.06/7,391.61 = 4,774.92/x
  3. Step 3: Cross multiply
    4,947.06x = 7,391.61 × 4,774.92
  4. Step 4: Simplify right side
    4,947.06x = 35,294,346.42
  5. Step 5: Solve for x
    x = 35,294,346.42/4,947.06
  6. Step 6: Final answer
    x = 7,134.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.