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Finding the Fourth Proportional to 14,489.71, 21,695.63 and 9,196.06

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Solution

The fourth proportional to 14,489.71, 21,695.63 and 9,196.06 is: 13,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.71 : 21,695.63 = 9,196.06 : x
  2. Step 2: Convert to fraction form
    14,489.71/21,695.63 = 9,196.06/x
  3. Step 3: Cross multiply
    14,489.71x = 21,695.63 × 9,196.06
  4. Step 4: Simplify right side
    14,489.71x = 199,514,315.22
  5. Step 5: Solve for x
    x = 199,514,315.22/14,489.71
  6. Step 6: Final answer
    x = 13,769.38

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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.