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Finding the Fourth Proportional to 6,742.61, 9,304.84 and 3,758.63

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Solution

The fourth proportional to 6,742.61, 9,304.84 and 3,758.63 is: 5,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.61 : 9,304.84 = 3,758.63 : x
  2. Step 2: Convert to fraction form
    6,742.61/9,304.84 = 3,758.63/x
  3. Step 3: Cross multiply
    6,742.61x = 9,304.84 × 3,758.63
  4. Step 4: Simplify right side
    6,742.61x = 34,973,450.77
  5. Step 5: Solve for x
    x = 34,973,450.77/6,742.61
  6. Step 6: Final answer
    x = 5,186.93

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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.