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Finding the Fourth Proportional to 4,775.86, 7,164.70 and 2,310.47

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Solution

The fourth proportional to 4,775.86, 7,164.70 and 2,310.47 is: 3,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.86 : 7,164.70 = 2,310.47 : x
  2. Step 2: Convert to fraction form
    4,775.86/7,164.70 = 2,310.47/x
  3. Step 3: Cross multiply
    4,775.86x = 7,164.70 × 2,310.47
  4. Step 4: Simplify right side
    4,775.86x = 16,553,862.97
  5. Step 5: Solve for x
    x = 16,553,862.97/4,775.86
  6. Step 6: Final answer
    x = 3,466.15

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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.