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Finding the Fourth Proportional to 6,713.01, 10,070.06 and 2,270.63

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Solution

The fourth proportional to 6,713.01, 10,070.06 and 2,270.63 is: 3,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.01 : 10,070.06 = 2,270.63 : x
  2. Step 2: Convert to fraction form
    6,713.01/10,070.06 = 2,270.63/x
  3. Step 3: Cross multiply
    6,713.01x = 10,070.06 × 2,270.63
  4. Step 4: Simplify right side
    6,713.01x = 22,865,394.16
  5. Step 5: Solve for x
    x = 22,865,394.16/6,713.01
  6. Step 6: Final answer
    x = 3,406.13

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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.