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Finding the Fourth Proportional to 14,224.79, 19,630.06 and 7,851.44

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Solution

The fourth proportional to 14,224.79, 19,630.06 and 7,851.44 is: 10,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.79 : 19,630.06 = 7,851.44 : x
  2. Step 2: Convert to fraction form
    14,224.79/19,630.06 = 7,851.44/x
  3. Step 3: Cross multiply
    14,224.79x = 19,630.06 × 7,851.44
  4. Step 4: Simplify right side
    14,224.79x = 154,124,238.29
  5. Step 5: Solve for x
    x = 154,124,238.29/14,224.79
  6. Step 6: Final answer
    x = 10,834.90

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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.