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Finding the Fourth Proportional to 9,504.14, 13,101.99 and 6,515.24

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Solution

The fourth proportional to 9,504.14, 13,101.99 and 6,515.24 is: 8,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.14 : 13,101.99 = 6,515.24 : x
  2. Step 2: Convert to fraction form
    9,504.14/13,101.99 = 6,515.24/x
  3. Step 3: Cross multiply
    9,504.14x = 13,101.99 × 6,515.24
  4. Step 4: Simplify right side
    9,504.14x = 85,362,609.33
  5. Step 5: Solve for x
    x = 85,362,609.33/9,504.14
  6. Step 6: Final answer
    x = 8,981.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.