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Finding the Fourth Proportional to 6,104.51, 9,160.51 and 2,817.84

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Solution

The fourth proportional to 6,104.51, 9,160.51 and 2,817.84 is: 4,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.51 : 9,160.51 = 2,817.84 : x
  2. Step 2: Convert to fraction form
    6,104.51/9,160.51 = 2,817.84/x
  3. Step 3: Cross multiply
    6,104.51x = 9,160.51 × 2,817.84
  4. Step 4: Simplify right side
    6,104.51x = 25,812,851.50
  5. Step 5: Solve for x
    x = 25,812,851.50/6,104.51
  6. Step 6: Final answer
    x = 4,228.49

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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.