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Finding the Fourth Proportional to 16,365.19, 22,582.06 and 9,194.11

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Solution

The fourth proportional to 16,365.19, 22,582.06 and 9,194.11 is: 12,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.19 : 22,582.06 = 9,194.11 : x
  2. Step 2: Convert to fraction form
    16,365.19/22,582.06 = 9,194.11/x
  3. Step 3: Cross multiply
    16,365.19x = 22,582.06 × 9,194.11
  4. Step 4: Simplify right side
    16,365.19x = 207,621,864.23
  5. Step 5: Solve for x
    x = 207,621,864.23/16,365.19
  6. Step 6: Final answer
    x = 12,686.80

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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.