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Finding the Fourth Proportional to 8,292.78, 11,443.98 and 4,566.78

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Solution

The fourth proportional to 8,292.78, 11,443.98 and 4,566.78 is: 6,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.78 : 11,443.98 = 4,566.78 : x
  2. Step 2: Convert to fraction form
    8,292.78/11,443.98 = 4,566.78/x
  3. Step 3: Cross multiply
    8,292.78x = 11,443.98 × 4,566.78
  4. Step 4: Simplify right side
    8,292.78x = 52,262,138.98
  5. Step 5: Solve for x
    x = 52,262,138.98/8,292.78
  6. Step 6: Final answer
    x = 6,302.13

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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.