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Finding the Fourth Proportional to 4,547.54, 6,795.43 and 3,414.42

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Solution

The fourth proportional to 4,547.54, 6,795.43 and 3,414.42 is: 5,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.54 : 6,795.43 = 3,414.42 : x
  2. Step 2: Convert to fraction form
    4,547.54/6,795.43 = 3,414.42/x
  3. Step 3: Cross multiply
    4,547.54x = 6,795.43 × 3,414.42
  4. Step 4: Simplify right side
    4,547.54x = 23,202,443.56
  5. Step 5: Solve for x
    x = 23,202,443.56/4,547.54
  6. Step 6: Final answer
    x = 5,102.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.