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Finding the Fourth Proportional to 7,671.40, 11,504.58 and 2,406.40

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Solution

The fourth proportional to 7,671.40, 11,504.58 and 2,406.40 is: 3,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.40 : 11,504.58 = 2,406.40 : x
  2. Step 2: Convert to fraction form
    7,671.40/11,504.58 = 2,406.40/x
  3. Step 3: Cross multiply
    7,671.40x = 11,504.58 × 2,406.40
  4. Step 4: Simplify right side
    7,671.40x = 27,684,621.31
  5. Step 5: Solve for x
    x = 27,684,621.31/7,671.40
  6. Step 6: Final answer
    x = 3,608.81

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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.