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Finding the Fourth Proportional to 22,477.86, 33,715.53 and 6,895.44

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Solution

The fourth proportional to 22,477.86, 33,715.53 and 6,895.44 is: 10,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.86 : 33,715.53 = 6,895.44 : x
  2. Step 2: Convert to fraction form
    22,477.86/33,715.53 = 6,895.44/x
  3. Step 3: Cross multiply
    22,477.86x = 33,715.53 × 6,895.44
  4. Step 4: Simplify right side
    22,477.86x = 232,483,414.18
  5. Step 5: Solve for x
    x = 232,483,414.18/22,477.86
  6. Step 6: Final answer
    x = 10,342.77

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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.