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Finding the Fourth Proportional to 6,265.69, 8,646.94 and 3,577.64

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Solution

The fourth proportional to 6,265.69, 8,646.94 and 3,577.64 is: 4,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.69 : 8,646.94 = 3,577.64 : x
  2. Step 2: Convert to fraction form
    6,265.69/8,646.94 = 3,577.64/x
  3. Step 3: Cross multiply
    6,265.69x = 8,646.94 × 3,577.64
  4. Step 4: Simplify right side
    6,265.69x = 30,935,577.30
  5. Step 5: Solve for x
    x = 30,935,577.30/6,265.69
  6. Step 6: Final answer
    x = 4,937.30

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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.