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Finding the Fourth Proportional to 8,292.33, 11,443.29 and 4,566.33

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Solution

The fourth proportional to 8,292.33, 11,443.29 and 4,566.33 is: 6,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.33 : 11,443.29 = 4,566.33 : x
  2. Step 2: Convert to fraction form
    8,292.33/11,443.29 = 4,566.33/x
  3. Step 3: Cross multiply
    8,292.33x = 11,443.29 × 4,566.33
  4. Step 4: Simplify right side
    8,292.33x = 52,253,838.43
  5. Step 5: Solve for x
    x = 52,253,838.43/8,292.33
  6. Step 6: Final answer
    x = 6,301.47

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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.