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Finding the Fourth Proportional to 6,706.08, 10,065.52 and 4,114.08

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Solution

The fourth proportional to 6,706.08, 10,065.52 and 4,114.08 is: 6,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.08 : 10,065.52 = 4,114.08 : x
  2. Step 2: Convert to fraction form
    6,706.08/10,065.52 = 4,114.08/x
  3. Step 3: Cross multiply
    6,706.08x = 10,065.52 × 4,114.08
  4. Step 4: Simplify right side
    6,706.08x = 41,410,354.52
  5. Step 5: Solve for x
    x = 41,410,354.52/6,706.08
  6. Step 6: Final answer
    x = 6,175.05

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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.