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Finding the Fourth Proportional to 6,742.01, 10,114.13 and 3,044.16

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Solution

The fourth proportional to 6,742.01, 10,114.13 and 3,044.16 is: 4,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.01 : 10,114.13 = 3,044.16 : x
  2. Step 2: Convert to fraction form
    6,742.01/10,114.13 = 3,044.16/x
  3. Step 3: Cross multiply
    6,742.01x = 10,114.13 × 3,044.16
  4. Step 4: Simplify right side
    6,742.01x = 30,789,037.59
  5. Step 5: Solve for x
    x = 30,789,037.59/6,742.01
  6. Step 6: Final answer
    x = 4,566.74

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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.