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Finding the Fourth Proportional to 6,404.73, 9,581.76 and 4,849.23

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Solution

The fourth proportional to 6,404.73, 9,581.76 and 4,849.23 is: 7,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.73 : 9,581.76 = 4,849.23 : x
  2. Step 2: Convert to fraction form
    6,404.73/9,581.76 = 4,849.23/x
  3. Step 3: Cross multiply
    6,404.73x = 9,581.76 × 4,849.23
  4. Step 4: Simplify right side
    6,404.73x = 46,464,158.04
  5. Step 5: Solve for x
    x = 46,464,158.04/6,404.73
  6. Step 6: Final answer
    x = 7,254.66

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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.