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Finding the Fourth Proportional to 12,465.26, 18,653.99 and 7,787.48

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Solution

The fourth proportional to 12,465.26, 18,653.99 and 7,787.48 is: 11,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.26 : 18,653.99 = 7,787.48 : x
  2. Step 2: Convert to fraction form
    12,465.26/18,653.99 = 7,787.48/x
  3. Step 3: Cross multiply
    12,465.26x = 18,653.99 × 7,787.48
  4. Step 4: Simplify right side
    12,465.26x = 145,267,441.84
  5. Step 5: Solve for x
    x = 145,267,441.84/12,465.26
  6. Step 6: Final answer
    x = 11,653.79

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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.