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Finding the Fourth Proportional to 9,662.25, 14,493.38 and 2,366.25

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Solution

The fourth proportional to 9,662.25, 14,493.38 and 2,366.25 is: 3,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.25 : 14,493.38 = 2,366.25 : x
  2. Step 2: Convert to fraction form
    9,662.25/14,493.38 = 2,366.25/x
  3. Step 3: Cross multiply
    9,662.25x = 14,493.38 × 2,366.25
  4. Step 4: Simplify right side
    9,662.25x = 34,294,948.59
  5. Step 5: Solve for x
    x = 34,294,948.59/9,662.25
  6. Step 6: Final answer
    x = 3,549.38

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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.