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Finding the Fourth Proportional to 6,503.02, 9,752.43 and 2,119.45

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Solution

The fourth proportional to 6,503.02, 9,752.43 and 2,119.45 is: 3,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.02 : 9,752.43 = 2,119.45 : x
  2. Step 2: Convert to fraction form
    6,503.02/9,752.43 = 2,119.45/x
  3. Step 3: Cross multiply
    6,503.02x = 9,752.43 × 2,119.45
  4. Step 4: Simplify right side
    6,503.02x = 20,669,787.76
  5. Step 5: Solve for x
    x = 20,669,787.76/6,503.02
  6. Step 6: Final answer
    x = 3,178.49

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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.