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Finding the Fourth Proportional to 9,927.97, 14,892.30 and 4,994.92

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Solution

The fourth proportional to 9,927.97, 14,892.30 and 4,994.92 is: 7,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.97 : 14,892.30 = 4,994.92 : x
  2. Step 2: Convert to fraction form
    9,927.97/14,892.30 = 4,994.92/x
  3. Step 3: Cross multiply
    9,927.97x = 14,892.30 × 4,994.92
  4. Step 4: Simplify right side
    9,927.97x = 74,385,847.12
  5. Step 5: Solve for x
    x = 74,385,847.12/9,927.97
  6. Step 6: Final answer
    x = 7,492.55

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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.