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Finding the Fourth Proportional to 5,164.68, 7,746.84 and 2,534.16

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Solution

The fourth proportional to 5,164.68, 7,746.84 and 2,534.16 is: 3,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.68 : 7,746.84 = 2,534.16 : x
  2. Step 2: Convert to fraction form
    5,164.68/7,746.84 = 2,534.16/x
  3. Step 3: Cross multiply
    5,164.68x = 7,746.84 × 2,534.16
  4. Step 4: Simplify right side
    5,164.68x = 19,631,732.05
  5. Step 5: Solve for x
    x = 19,631,732.05/5,164.68
  6. Step 6: Final answer
    x = 3,801.15

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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.