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Finding the Fourth Proportional to 7,776.14, 10,737.78 and 6,668.06

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Solution

The fourth proportional to 7,776.14, 10,737.78 and 6,668.06 is: 9,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.14 : 10,737.78 = 6,668.06 : x
  2. Step 2: Convert to fraction form
    7,776.14/10,737.78 = 6,668.06/x
  3. Step 3: Cross multiply
    7,776.14x = 10,737.78 × 6,668.06
  4. Step 4: Simplify right side
    7,776.14x = 71,600,161.31
  5. Step 5: Solve for x
    x = 71,600,161.31/7,776.14
  6. Step 6: Final answer
    x = 9,207.67

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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.