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Finding the Fourth Proportional to 6,323.59, 9,491.87 and 4,147.93

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Solution

The fourth proportional to 6,323.59, 9,491.87 and 4,147.93 is: 6,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.59 : 9,491.87 = 4,147.93 : x
  2. Step 2: Convert to fraction form
    6,323.59/9,491.87 = 4,147.93/x
  3. Step 3: Cross multiply
    6,323.59x = 9,491.87 × 4,147.93
  4. Step 4: Simplify right side
    6,323.59x = 39,371,612.33
  5. Step 5: Solve for x
    x = 39,371,612.33/6,323.59
  6. Step 6: Final answer
    x = 6,226.15

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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.