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Finding the Fourth Proportional to 28,224.34, 42,355.94 and 9,756.34

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Solution

The fourth proportional to 28,224.34, 42,355.94 and 9,756.34 is: 14,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.34 : 42,355.94 = 9,756.34 : x
  2. Step 2: Convert to fraction form
    28,224.34/42,355.94 = 9,756.34/x
  3. Step 3: Cross multiply
    28,224.34x = 42,355.94 × 9,756.34
  4. Step 4: Simplify right side
    28,224.34x = 413,238,951.66
  5. Step 5: Solve for x
    x = 413,238,951.66/28,224.34
  6. Step 6: Final answer
    x = 14,641.23

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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.