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Finding the Fourth Proportional to 6,704.58, 10,063.08 and 3,420.12

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Solution

The fourth proportional to 6,704.58, 10,063.08 and 3,420.12 is: 5,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.58 : 10,063.08 = 3,420.12 : x
  2. Step 2: Convert to fraction form
    6,704.58/10,063.08 = 3,420.12/x
  3. Step 3: Cross multiply
    6,704.58x = 10,063.08 × 3,420.12
  4. Step 4: Simplify right side
    6,704.58x = 34,416,941.17
  5. Step 5: Solve for x
    x = 34,416,941.17/6,704.58
  6. Step 6: Final answer
    x = 5,133.35

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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.