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Finding the Fourth Proportional to 6,304.54, 9,462.64 and 3,186.74

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Solution

The fourth proportional to 6,304.54, 9,462.64 and 3,186.74 is: 4,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.54 : 9,462.64 = 3,186.74 : x
  2. Step 2: Convert to fraction form
    6,304.54/9,462.64 = 3,186.74/x
  3. Step 3: Cross multiply
    6,304.54x = 9,462.64 × 3,186.74
  4. Step 4: Simplify right side
    6,304.54x = 30,154,973.39
  5. Step 5: Solve for x
    x = 30,154,973.39/6,304.54
  6. Step 6: Final answer
    x = 4,783.06

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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.