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Finding the Fourth Proportional to 4,770.86, 7,154.91 and 1,650.05

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Solution

The fourth proportional to 4,770.86, 7,154.91 and 1,650.05 is: 2,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.86 : 7,154.91 = 1,650.05 : x
  2. Step 2: Convert to fraction form
    4,770.86/7,154.91 = 1,650.05/x
  3. Step 3: Cross multiply
    4,770.86x = 7,154.91 × 1,650.05
  4. Step 4: Simplify right side
    4,770.86x = 11,805,959.25
  5. Step 5: Solve for x
    x = 11,805,959.25/4,770.86
  6. Step 6: Final answer
    x = 2,474.60

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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.