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Finding the Fourth Proportional to 22,477.69, 33,715.32 and 6,895.32

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Solution

The fourth proportional to 22,477.69, 33,715.32 and 6,895.32 is: 10,342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.69 : 33,715.32 = 6,895.32 : x
  2. Step 2: Convert to fraction form
    22,477.69/33,715.32 = 6,895.32/x
  3. Step 3: Cross multiply
    22,477.69x = 33,715.32 × 6,895.32
  4. Step 4: Simplify right side
    22,477.69x = 232,477,920.30
  5. Step 5: Solve for x
    x = 232,477,920.30/22,477.69
  6. Step 6: Final answer
    x = 10,342.61

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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.