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Finding the Fourth Proportional to 4,767.77, 7,196.63 and 4,767.77

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Solution

The fourth proportional to 4,767.77, 7,196.63 and 4,767.77 is: 7,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.77 : 7,196.63 = 4,767.77 : x
  2. Step 2: Convert to fraction form
    4,767.77/7,196.63 = 4,767.77/x
  3. Step 3: Cross multiply
    4,767.77x = 7,196.63 × 4,767.77
  4. Step 4: Simplify right side
    4,767.77x = 34,311,876.62
  5. Step 5: Solve for x
    x = 34,311,876.62/4,767.77
  6. Step 6: Final answer
    x = 7,196.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.