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Finding the Fourth Proportional to 7,011.35, 9,675.78 and 3,824.67

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Solution

The fourth proportional to 7,011.35, 9,675.78 and 3,824.67 is: 5,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.35 : 9,675.78 = 3,824.67 : x
  2. Step 2: Convert to fraction form
    7,011.35/9,675.78 = 3,824.67/x
  3. Step 3: Cross multiply
    7,011.35x = 9,675.78 × 3,824.67
  4. Step 4: Simplify right side
    7,011.35x = 37,006,665.49
  5. Step 5: Solve for x
    x = 37,006,665.49/7,011.35
  6. Step 6: Final answer
    x = 5,278.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.