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Finding the Fourth Proportional to 6,704.40, 10,056.60 and 2,321.40

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Solution

The fourth proportional to 6,704.40, 10,056.60 and 2,321.40 is: 3,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.40 : 10,056.60 = 2,321.40 : x
  2. Step 2: Convert to fraction form
    6,704.40/10,056.60 = 2,321.40/x
  3. Step 3: Cross multiply
    6,704.40x = 10,056.60 × 2,321.40
  4. Step 4: Simplify right side
    6,704.40x = 23,345,391.24
  5. Step 5: Solve for x
    x = 23,345,391.24/6,704.40
  6. Step 6: Final answer
    x = 3,482.10

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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.