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Finding the Fourth Proportional to 6,267.64, 8,649.01 and 3,614.89

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Solution

The fourth proportional to 6,267.64, 8,649.01 and 3,614.89 is: 4,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.64 : 8,649.01 = 3,614.89 : x
  2. Step 2: Convert to fraction form
    6,267.64/8,649.01 = 3,614.89/x
  3. Step 3: Cross multiply
    6,267.64x = 8,649.01 × 3,614.89
  4. Step 4: Simplify right side
    6,267.64x = 31,265,219.76
  5. Step 5: Solve for x
    x = 31,265,219.76/6,267.64
  6. Step 6: Final answer
    x = 4,988.36

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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.