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Finding the Fourth Proportional to 4,706.22, 7,059.60 and 1,586.10

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Solution

The fourth proportional to 4,706.22, 7,059.60 and 1,586.10 is: 2,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.22 : 7,059.60 = 1,586.10 : x
  2. Step 2: Convert to fraction form
    4,706.22/7,059.60 = 1,586.10/x
  3. Step 3: Cross multiply
    4,706.22x = 7,059.60 × 1,586.10
  4. Step 4: Simplify right side
    4,706.22x = 11,197,231.56
  5. Step 5: Solve for x
    x = 11,197,231.56/4,706.22
  6. Step 6: Final answer
    x = 2,379.24

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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.