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Finding the Fourth Proportional to 5,742.64, 7,929.24 and 4,414.24

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Solution

The fourth proportional to 5,742.64, 7,929.24 and 4,414.24 is: 6,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.64 : 7,929.24 = 4,414.24 : x
  2. Step 2: Convert to fraction form
    5,742.64/7,929.24 = 4,414.24/x
  3. Step 3: Cross multiply
    5,742.64x = 7,929.24 × 4,414.24
  4. Step 4: Simplify right side
    5,742.64x = 35,001,568.38
  5. Step 5: Solve for x
    x = 35,001,568.38/5,742.64
  6. Step 6: Final answer
    x = 6,095.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.