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Finding the Fourth Proportional to 4,707.70, 7,059.04 and 1,586.66

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Solution

The fourth proportional to 4,707.70, 7,059.04 and 1,586.66 is: 2,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.70 : 7,059.04 = 1,586.66 : x
  2. Step 2: Convert to fraction form
    4,707.70/7,059.04 = 1,586.66/x
  3. Step 3: Cross multiply
    4,707.70x = 7,059.04 × 1,586.66
  4. Step 4: Simplify right side
    4,707.70x = 11,200,296.41
  5. Step 5: Solve for x
    x = 11,200,296.41/4,707.70
  6. Step 6: Final answer
    x = 2,379.14

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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.