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Finding the Fourth Proportional to 14,453.91, 19,946.25 and 9,153.07

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Solution

The fourth proportional to 14,453.91, 19,946.25 and 9,153.07 is: 12,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.91 : 19,946.25 = 9,153.07 : x
  2. Step 2: Convert to fraction form
    14,453.91/19,946.25 = 9,153.07/x
  3. Step 3: Cross multiply
    14,453.91x = 19,946.25 × 9,153.07
  4. Step 4: Simplify right side
    14,453.91x = 182,569,372.62
  5. Step 5: Solve for x
    x = 182,569,372.62/14,453.91
  6. Step 6: Final answer
    x = 12,631.14

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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.