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Finding the Fourth Proportional to 4,734.77, 7,091.22 and 4,570.75

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Solution

The fourth proportional to 4,734.77, 7,091.22 and 4,570.75 is: 6,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.77 : 7,091.22 = 4,570.75 : x
  2. Step 2: Convert to fraction form
    4,734.77/7,091.22 = 4,570.75/x
  3. Step 3: Cross multiply
    4,734.77x = 7,091.22 × 4,570.75
  4. Step 4: Simplify right side
    4,734.77x = 32,412,193.82
  5. Step 5: Solve for x
    x = 32,412,193.82/4,734.77
  6. Step 6: Final answer
    x = 6,845.57

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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.