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Finding the Fourth Proportional to 6,274.42, 9,411.02 and 3,808.58

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Solution

The fourth proportional to 6,274.42, 9,411.02 and 3,808.58 is: 5,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.42 : 9,411.02 = 3,808.58 : x
  2. Step 2: Convert to fraction form
    6,274.42/9,411.02 = 3,808.58/x
  3. Step 3: Cross multiply
    6,274.42x = 9,411.02 × 3,808.58
  4. Step 4: Simplify right side
    6,274.42x = 35,842,622.55
  5. Step 5: Solve for x
    x = 35,842,622.55/6,274.42
  6. Step 6: Final answer
    x = 5,712.50

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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.