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Finding the Fourth Proportional to 6,102.69, 9,154.02 and 1,720.14

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Solution

The fourth proportional to 6,102.69, 9,154.02 and 1,720.14 is: 2,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.69 : 9,154.02 = 1,720.14 : x
  2. Step 2: Convert to fraction form
    6,102.69/9,154.02 = 1,720.14/x
  3. Step 3: Cross multiply
    6,102.69x = 9,154.02 × 1,720.14
  4. Step 4: Simplify right side
    6,102.69x = 15,746,195.96
  5. Step 5: Solve for x
    x = 15,746,195.96/6,102.69
  6. Step 6: Final answer
    x = 2,580.21

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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.