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Finding the Fourth Proportional to 9,929.88, 14,897.64 and 8,098.32

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Solution

The fourth proportional to 9,929.88, 14,897.64 and 8,098.32 is: 12,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.88 : 14,897.64 = 8,098.32 : x
  2. Step 2: Convert to fraction form
    9,929.88/14,897.64 = 8,098.32/x
  3. Step 3: Cross multiply
    9,929.88x = 14,897.64 × 8,098.32
  4. Step 4: Simplify right side
    9,929.88x = 120,645,855.96
  5. Step 5: Solve for x
    x = 120,645,855.96/9,929.88
  6. Step 6: Final answer
    x = 12,149.78

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1.5x scale

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.