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Finding the Fourth Proportional to 7,875.42, 11,813.22 and 3,195.54

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Solution

The fourth proportional to 7,875.42, 11,813.22 and 3,195.54 is: 4,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.42 : 11,813.22 = 3,195.54 : x
  2. Step 2: Convert to fraction form
    7,875.42/11,813.22 = 3,195.54/x
  3. Step 3: Cross multiply
    7,875.42x = 11,813.22 × 3,195.54
  4. Step 4: Simplify right side
    7,875.42x = 37,749,617.04
  5. Step 5: Solve for x
    x = 37,749,617.04/7,875.42
  6. Step 6: Final answer
    x = 4,793.35

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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.