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Finding the Fourth Proportional to 9,892.88, 14,827.78 and 8,047.30

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Solution

The fourth proportional to 9,892.88, 14,827.78 and 8,047.30 is: 12,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.88 : 14,827.78 = 8,047.30 : x
  2. Step 2: Convert to fraction form
    9,892.88/14,827.78 = 8,047.30/x
  3. Step 3: Cross multiply
    9,892.88x = 14,827.78 × 8,047.30
  4. Step 4: Simplify right side
    9,892.88x = 119,323,593.99
  5. Step 5: Solve for x
    x = 119,323,593.99/9,892.88
  6. Step 6: Final answer
    x = 12,061.56

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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.