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Finding the Fourth Proportional to 6,411.69, 9,624.81 and 4,304.88

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Solution

The fourth proportional to 6,411.69, 9,624.81 and 4,304.88 is: 6,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.69 : 9,624.81 = 4,304.88 : x
  2. Step 2: Convert to fraction form
    6,411.69/9,624.81 = 4,304.88/x
  3. Step 3: Cross multiply
    6,411.69x = 9,624.81 × 4,304.88
  4. Step 4: Simplify right side
    6,411.69x = 41,433,652.07
  5. Step 5: Solve for x
    x = 41,433,652.07/6,411.69
  6. Step 6: Final answer
    x = 6,462.20

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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.