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Finding the Fourth Proportional to 6,726.57, 10,094.10 and 2,567.01

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Solution

The fourth proportional to 6,726.57, 10,094.10 and 2,567.01 is: 3,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.57 : 10,094.10 = 2,567.01 : x
  2. Step 2: Convert to fraction form
    6,726.57/10,094.10 = 2,567.01/x
  3. Step 3: Cross multiply
    6,726.57x = 10,094.10 × 2,567.01
  4. Step 4: Simplify right side
    6,726.57x = 25,911,655.64
  5. Step 5: Solve for x
    x = 25,911,655.64/6,726.57
  6. Step 6: Final answer
    x = 3,852.13

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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.