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Finding the Fourth Proportional to 4,651.02, 6,415.20 and 4,451.76

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Solution

The fourth proportional to 4,651.02, 6,415.20 and 4,451.76 is: 6,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.02 : 6,415.20 = 4,451.76 : x
  2. Step 2: Convert to fraction form
    4,651.02/6,415.20 = 4,451.76/x
  3. Step 3: Cross multiply
    4,651.02x = 6,415.20 × 4,451.76
  4. Step 4: Simplify right side
    4,651.02x = 28,558,930.75
  5. Step 5: Solve for x
    x = 28,558,930.75/4,651.02
  6. Step 6: Final answer
    x = 6,140.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.