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Finding the Fourth Proportional to 10,003.15, 15,003.15 and 6,294.03

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Solution

The fourth proportional to 10,003.15, 15,003.15 and 6,294.03 is: 9,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.15 : 15,003.15 = 6,294.03 : x
  2. Step 2: Convert to fraction form
    10,003.15/15,003.15 = 6,294.03/x
  3. Step 3: Cross multiply
    10,003.15x = 15,003.15 × 6,294.03
  4. Step 4: Simplify right side
    10,003.15x = 94,430,276.19
  5. Step 5: Solve for x
    x = 94,430,276.19/10,003.15
  6. Step 6: Final answer
    x = 9,440.05

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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.