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Finding the Fourth Proportional to 12,224.25, 16,871.63 and 7,256.25

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Solution

The fourth proportional to 12,224.25, 16,871.63 and 7,256.25 is: 10,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.25 : 16,871.63 = 7,256.25 : x
  2. Step 2: Convert to fraction form
    12,224.25/16,871.63 = 7,256.25/x
  3. Step 3: Cross multiply
    12,224.25x = 16,871.63 × 7,256.25
  4. Step 4: Simplify right side
    12,224.25x = 122,424,728.91
  5. Step 5: Solve for x
    x = 122,424,728.91/12,224.25
  6. Step 6: Final answer
    x = 10,014.91

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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.