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Finding the Fourth Proportional to 4,457.68, 6,684.06 and 1,827.04

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Solution

The fourth proportional to 4,457.68, 6,684.06 and 1,827.04 is: 2,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.68 : 6,684.06 = 1,827.04 : x
  2. Step 2: Convert to fraction form
    4,457.68/6,684.06 = 1,827.04/x
  3. Step 3: Cross multiply
    4,457.68x = 6,684.06 × 1,827.04
  4. Step 4: Simplify right side
    4,457.68x = 12,212,044.98
  5. Step 5: Solve for x
    x = 12,212,044.98/4,457.68
  6. Step 6: Final answer
    x = 2,739.55

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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.