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Finding the Fourth Proportional to 6,277.68, 9,421.11 and 5,059.78

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Solution

The fourth proportional to 6,277.68, 9,421.11 and 5,059.78 is: 7,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.68 : 9,421.11 = 5,059.78 : x
  2. Step 2: Convert to fraction form
    6,277.68/9,421.11 = 5,059.78/x
  3. Step 3: Cross multiply
    6,277.68x = 9,421.11 × 5,059.78
  4. Step 4: Simplify right side
    6,277.68x = 47,668,720.40
  5. Step 5: Solve for x
    x = 47,668,720.40/6,277.68
  6. Step 6: Final answer
    x = 7,593.37

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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.