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Finding the Fourth Proportional to 7,149.64, 9,869.21 and 4,166.44

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Solution

The fourth proportional to 7,149.64, 9,869.21 and 4,166.44 is: 5,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.64 : 9,869.21 = 4,166.44 : x
  2. Step 2: Convert to fraction form
    7,149.64/9,869.21 = 4,166.44/x
  3. Step 3: Cross multiply
    7,149.64x = 9,869.21 × 4,166.44
  4. Step 4: Simplify right side
    7,149.64x = 41,119,457.06
  5. Step 5: Solve for x
    x = 41,119,457.06/7,149.64
  6. Step 6: Final answer
    x = 5,751.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.