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Finding the Fourth Proportional to 14,073.12, 19,420.16 and 7,698.48

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Solution

The fourth proportional to 14,073.12, 19,420.16 and 7,698.48 is: 10,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.12 : 19,420.16 = 7,698.48 : x
  2. Step 2: Convert to fraction form
    14,073.12/19,420.16 = 7,698.48/x
  3. Step 3: Cross multiply
    14,073.12x = 19,420.16 × 7,698.48
  4. Step 4: Simplify right side
    14,073.12x = 149,505,713.36
  5. Step 5: Solve for x
    x = 149,505,713.36/14,073.12
  6. Step 6: Final answer
    x = 10,623.49

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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.