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Finding the Fourth Proportional to 7,024.42, 9,738.08 and 6,649.89

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Solution

The fourth proportional to 7,024.42, 9,738.08 and 6,649.89 is: 9,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.42 : 9,738.08 = 6,649.89 : x
  2. Step 2: Convert to fraction form
    7,024.42/9,738.08 = 6,649.89/x
  3. Step 3: Cross multiply
    7,024.42x = 9,738.08 × 6,649.89
  4. Step 4: Simplify right side
    7,024.42x = 64,757,160.81
  5. Step 5: Solve for x
    x = 64,757,160.81/7,024.42
  6. Step 6: Final answer
    x = 9,218.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.