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Finding the Fourth Proportional to 9,892.44, 14,842.62 and 5,951.16

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Solution

The fourth proportional to 9,892.44, 14,842.62 and 5,951.16 is: 8,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.44 : 14,842.62 = 5,951.16 : x
  2. Step 2: Convert to fraction form
    9,892.44/14,842.62 = 5,951.16/x
  3. Step 3: Cross multiply
    9,892.44x = 14,842.62 × 5,951.16
  4. Step 4: Simplify right side
    9,892.44x = 88,330,806.44
  5. Step 5: Solve for x
    x = 88,330,806.44/9,892.44
  6. Step 6: Final answer
    x = 8,929.12

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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.