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Finding the Fourth Proportional to 4,777.26, 7,108.10 and 4,658.22

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Solution

The fourth proportional to 4,777.26, 7,108.10 and 4,658.22 is: 6,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.26 : 7,108.10 = 4,658.22 : x
  2. Step 2: Convert to fraction form
    4,777.26/7,108.10 = 4,658.22/x
  3. Step 3: Cross multiply
    4,777.26x = 7,108.10 × 4,658.22
  4. Step 4: Simplify right side
    4,777.26x = 33,111,070.29
  5. Step 5: Solve for x
    x = 33,111,070.29/4,777.26
  6. Step 6: Final answer
    x = 6,930.98

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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.