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Finding the Fourth Proportional to 14,256.63, 19,674.09 and 7,969.02

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Solution

The fourth proportional to 14,256.63, 19,674.09 and 7,969.02 is: 10,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.63 : 19,674.09 = 7,969.02 : x
  2. Step 2: Convert to fraction form
    14,256.63/19,674.09 = 7,969.02/x
  3. Step 3: Cross multiply
    14,256.63x = 19,674.09 × 7,969.02
  4. Step 4: Simplify right side
    14,256.63x = 156,783,216.69
  5. Step 5: Solve for x
    x = 156,783,216.69/14,256.63
  6. Step 6: Final answer
    x = 10,997.21

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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.