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Finding the Fourth Proportional to 6,451.63, 9,681.76 and 2,347.63

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Solution

The fourth proportional to 6,451.63, 9,681.76 and 2,347.63 is: 3,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.63 : 9,681.76 = 2,347.63 : x
  2. Step 2: Convert to fraction form
    6,451.63/9,681.76 = 2,347.63/x
  3. Step 3: Cross multiply
    6,451.63x = 9,681.76 × 2,347.63
  4. Step 4: Simplify right side
    6,451.63x = 22,729,190.23
  5. Step 5: Solve for x
    x = 22,729,190.23/6,451.63
  6. Step 6: Final answer
    x = 3,523.02

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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.