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Finding the Fourth Proportional to 4,745.86, 7,070.16 and 4,694.02

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Solution

The fourth proportional to 4,745.86, 7,070.16 and 4,694.02 is: 6,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.86 : 7,070.16 = 4,694.02 : x
  2. Step 2: Convert to fraction form
    4,745.86/7,070.16 = 4,694.02/x
  3. Step 3: Cross multiply
    4,745.86x = 7,070.16 × 4,694.02
  4. Step 4: Simplify right side
    4,745.86x = 33,187,472.44
  5. Step 5: Solve for x
    x = 33,187,472.44/4,745.86
  6. Step 6: Final answer
    x = 6,992.93

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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.