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Finding the Fourth Proportional to 6,681.53, 10,026.77 and 3,563.69

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Solution

The fourth proportional to 6,681.53, 10,026.77 and 3,563.69 is: 5,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.53 : 10,026.77 = 3,563.69 : x
  2. Step 2: Convert to fraction form
    6,681.53/10,026.77 = 3,563.69/x
  3. Step 3: Cross multiply
    6,681.53x = 10,026.77 × 3,563.69
  4. Step 4: Simplify right side
    6,681.53x = 35,732,232.03
  5. Step 5: Solve for x
    x = 35,732,232.03/6,681.53
  6. Step 6: Final answer
    x = 5,347.91

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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.