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Finding the Fourth Proportional to 6,704.56, 10,056.42 and 2,024.32

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Solution

The fourth proportional to 6,704.56, 10,056.42 and 2,024.32 is: 3,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.56 : 10,056.42 = 2,024.32 : x
  2. Step 2: Convert to fraction form
    6,704.56/10,056.42 = 2,024.32/x
  3. Step 3: Cross multiply
    6,704.56x = 10,056.42 × 2,024.32
  4. Step 4: Simplify right side
    6,704.56x = 20,357,412.13
  5. Step 5: Solve for x
    x = 20,357,412.13/6,704.56
  6. Step 6: Final answer
    x = 3,036.35

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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.