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Finding the Fourth Proportional to 14,201.72, 19,598.70 and 7,914.48

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Solution

The fourth proportional to 14,201.72, 19,598.70 and 7,914.48 is: 10,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.72 : 19,598.70 = 7,914.48 : x
  2. Step 2: Convert to fraction form
    14,201.72/19,598.70 = 7,914.48/x
  3. Step 3: Cross multiply
    14,201.72x = 19,598.70 × 7,914.48
  4. Step 4: Simplify right side
    14,201.72x = 155,113,519.18
  5. Step 5: Solve for x
    x = 155,113,519.18/14,201.72
  6. Step 6: Final answer
    x = 10,922.16

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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.