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Finding the Fourth Proportional to 9,927.74, 14,892.16 and 4,991.60

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Solution

The fourth proportional to 9,927.74, 14,892.16 and 4,991.60 is: 7,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.74 : 14,892.16 = 4,991.60 : x
  2. Step 2: Convert to fraction form
    9,927.74/14,892.16 = 4,991.60/x
  3. Step 3: Cross multiply
    9,927.74x = 14,892.16 × 4,991.60
  4. Step 4: Simplify right side
    9,927.74x = 74,335,705.86
  5. Step 5: Solve for x
    x = 74,335,705.86/9,927.74
  6. Step 6: Final answer
    x = 7,487.68

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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.