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Finding the Fourth Proportional to 8,674.21, 11,970.15 and 4,897.49

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Solution

The fourth proportional to 8,674.21, 11,970.15 and 4,897.49 is: 6,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.21 : 11,970.15 = 4,897.49 : x
  2. Step 2: Convert to fraction form
    8,674.21/11,970.15 = 4,897.49/x
  3. Step 3: Cross multiply
    8,674.21x = 11,970.15 × 4,897.49
  4. Step 4: Simplify right side
    8,674.21x = 58,623,689.92
  5. Step 5: Solve for x
    x = 58,623,689.92/8,674.21
  6. Step 6: Final answer
    x = 6,758.39

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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.