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Finding the Fourth Proportional to 6,308.40, 9,406.86 and 6,252.12

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Solution

The fourth proportional to 6,308.40, 9,406.86 and 6,252.12 is: 9,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.40 : 9,406.86 = 6,252.12 : x
  2. Step 2: Convert to fraction form
    6,308.40/9,406.86 = 6,252.12/x
  3. Step 3: Cross multiply
    6,308.40x = 9,406.86 × 6,252.12
  4. Step 4: Simplify right side
    6,308.40x = 58,812,817.54
  5. Step 5: Solve for x
    x = 58,812,817.54/6,308.40
  6. Step 6: Final answer
    x = 9,322.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.