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Finding the Fourth Proportional to 6,938.88, 10,408.53 and 2,009.63

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Solution

The fourth proportional to 6,938.88, 10,408.53 and 2,009.63 is: 3,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.88 : 10,408.53 = 2,009.63 : x
  2. Step 2: Convert to fraction form
    6,938.88/10,408.53 = 2,009.63/x
  3. Step 3: Cross multiply
    6,938.88x = 10,408.53 × 2,009.63
  4. Step 4: Simplify right side
    6,938.88x = 20,917,242.10
  5. Step 5: Solve for x
    x = 20,917,242.10/6,938.88
  6. Step 6: Final answer
    x = 3,014.50

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1.5x scale

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.