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Finding the Fourth Proportional to 14,381.52, 19,856.52 and 9,006.09

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Solution

The fourth proportional to 14,381.52, 19,856.52 and 9,006.09 is: 12,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.52 : 19,856.52 = 9,006.09 : x
  2. Step 2: Convert to fraction form
    14,381.52/19,856.52 = 9,006.09/x
  3. Step 3: Cross multiply
    14,381.52x = 19,856.52 × 9,006.09
  4. Step 4: Simplify right side
    14,381.52x = 178,829,606.21
  5. Step 5: Solve for x
    x = 178,829,606.21/14,381.52
  6. Step 6: Final answer
    x = 12,434.68

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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.