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Finding the Fourth Proportional to 11,737.22, 17,582.13 and 9,095.22

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Solution

The fourth proportional to 11,737.22, 17,582.13 and 9,095.22 is: 13,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.22 : 17,582.13 = 9,095.22 : x
  2. Step 2: Convert to fraction form
    11,737.22/17,582.13 = 9,095.22/x
  3. Step 3: Cross multiply
    11,737.22x = 17,582.13 × 9,095.22
  4. Step 4: Simplify right side
    11,737.22x = 159,913,340.42
  5. Step 5: Solve for x
    x = 159,913,340.42/11,737.22
  6. Step 6: Final answer
    x = 13,624.47

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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.