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Finding the Fourth Proportional to 6,999.90, 10,501.14 and 2,002.06

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Solution

The fourth proportional to 6,999.90, 10,501.14 and 2,002.06 is: 3,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.90 : 10,501.14 = 2,002.06 : x
  2. Step 2: Convert to fraction form
    6,999.90/10,501.14 = 2,002.06/x
  3. Step 3: Cross multiply
    6,999.90x = 10,501.14 × 2,002.06
  4. Step 4: Simplify right side
    6,999.90x = 21,023,886.10
  5. Step 5: Solve for x
    x = 21,023,886.10/6,999.90
  6. Step 6: Final answer
    x = 3,003.46

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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.