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Finding the Fourth Proportional to 7,004.55, 9,666.20 and 3,860.67

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Solution

The fourth proportional to 7,004.55, 9,666.20 and 3,860.67 is: 5,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.55 : 9,666.20 = 3,860.67 : x
  2. Step 2: Convert to fraction form
    7,004.55/9,666.20 = 3,860.67/x
  3. Step 3: Cross multiply
    7,004.55x = 9,666.20 × 3,860.67
  4. Step 4: Simplify right side
    7,004.55x = 37,317,989.05
  5. Step 5: Solve for x
    x = 37,317,989.05/7,004.55
  6. Step 6: Final answer
    x = 5,327.68

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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.