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Finding the Fourth Proportional to 9,617.94, 14,431.99 and 6,824.82

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Solution

The fourth proportional to 9,617.94, 14,431.99 and 6,824.82 is: 10,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.94 : 14,431.99 = 6,824.82 : x
  2. Step 2: Convert to fraction form
    9,617.94/14,431.99 = 6,824.82/x
  3. Step 3: Cross multiply
    9,617.94x = 14,431.99 × 6,824.82
  4. Step 4: Simplify right side
    9,617.94x = 98,495,734.55
  5. Step 5: Solve for x
    x = 98,495,734.55/9,617.94
  6. Step 6: Final answer
    x = 10,240.84

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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.