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Finding the Fourth Proportional to 6,043, 9,064.56 and 2,147.56

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Solution

The fourth proportional to 6,043, 9,064.56 and 2,147.56 is: 3,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043 : 9,064.56 = 2,147.56 : x
  2. Step 2: Convert to fraction form
    6,043/9,064.56 = 2,147.56/x
  3. Step 3: Cross multiply
    6,043x = 9,064.56 × 2,147.56
  4. Step 4: Simplify right side
    6,043x = 19,466,686.47
  5. Step 5: Solve for x
    x = 19,466,686.47/6,043
  6. Step 6: Final answer
    x = 3,221.36

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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.