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Finding the Fourth Proportional to 9,653.58, 14,472.14 and 9,194.31

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Solution

The fourth proportional to 9,653.58, 14,472.14 and 9,194.31 is: 13,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.58 : 14,472.14 = 9,194.31 : x
  2. Step 2: Convert to fraction form
    9,653.58/14,472.14 = 9,194.31/x
  3. Step 3: Cross multiply
    9,653.58x = 14,472.14 × 9,194.31
  4. Step 4: Simplify right side
    9,653.58x = 133,061,295.55
  5. Step 5: Solve for x
    x = 133,061,295.55/9,653.58
  6. Step 6: Final answer
    x = 13,783.62

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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.