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Finding the Fourth Proportional to 9,892.67, 14,842.10 and 5,948.24

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Solution

The fourth proportional to 9,892.67, 14,842.10 and 5,948.24 is: 8,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.67 : 14,842.10 = 5,948.24 : x
  2. Step 2: Convert to fraction form
    9,892.67/14,842.10 = 5,948.24/x
  3. Step 3: Cross multiply
    9,892.67x = 14,842.10 × 5,948.24
  4. Step 4: Simplify right side
    9,892.67x = 88,284,313.56
  5. Step 5: Solve for x
    x = 88,284,313.56/9,892.67
  6. Step 6: Final answer
    x = 8,924.22

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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.