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Finding the Fourth Proportional to 14,411.22, 19,891.25 and 9,389.22

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Solution

The fourth proportional to 14,411.22, 19,891.25 and 9,389.22 is: 12,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.22 : 19,891.25 = 9,389.22 : x
  2. Step 2: Convert to fraction form
    14,411.22/19,891.25 = 9,389.22/x
  3. Step 3: Cross multiply
    14,411.22x = 19,891.25 × 9,389.22
  4. Step 4: Simplify right side
    14,411.22x = 186,763,322.33
  5. Step 5: Solve for x
    x = 186,763,322.33/14,411.22
  6. Step 6: Final answer
    x = 12,959.58

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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.