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Finding the Fourth Proportional to 4,774.92, 7,101.84 and 4,723.08

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Solution

The fourth proportional to 4,774.92, 7,101.84 and 4,723.08 is: 7,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.92 : 7,101.84 = 4,723.08 : x
  2. Step 2: Convert to fraction form
    4,774.92/7,101.84 = 4,723.08/x
  3. Step 3: Cross multiply
    4,774.92x = 7,101.84 × 4,723.08
  4. Step 4: Simplify right side
    4,774.92x = 33,542,558.47
  5. Step 5: Solve for x
    x = 33,542,558.47/4,774.92
  6. Step 6: Final answer
    x = 7,024.74

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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.