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Finding the Fourth Proportional to 8,566, 12,837.84 and 4,402.48

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Solution

The fourth proportional to 8,566, 12,837.84 and 4,402.48 is: 6,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566 : 12,837.84 = 4,402.48 : x
  2. Step 2: Convert to fraction form
    8,566/12,837.84 = 4,402.48/x
  3. Step 3: Cross multiply
    8,566x = 12,837.84 × 4,402.48
  4. Step 4: Simplify right side
    8,566x = 56,518,333.84
  5. Step 5: Solve for x
    x = 56,518,333.84/8,566
  6. Step 6: Final answer
    x = 6,597.98

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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.