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Finding the Fourth Proportional to 8,304.36, 11,460 and 4,578.36

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Solution

The fourth proportional to 8,304.36, 11,460 and 4,578.36 is: 6,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.36 : 11,460 = 4,578.36 : x
  2. Step 2: Convert to fraction form
    8,304.36/11,460 = 4,578.36/x
  3. Step 3: Cross multiply
    8,304.36x = 11,460 × 4,578.36
  4. Step 4: Simplify right side
    8,304.36x = 52,468,005.60
  5. Step 5: Solve for x
    x = 52,468,005.60/8,304.36
  6. Step 6: Final answer
    x = 6,318.13

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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.