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Finding the Fourth Proportional to 12,199.98, 16,837.29 and 7,164.93

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Solution

The fourth proportional to 12,199.98, 16,837.29 and 7,164.93 is: 9,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.98 : 16,837.29 = 7,164.93 : x
  2. Step 2: Convert to fraction form
    12,199.98/16,837.29 = 7,164.93/x
  3. Step 3: Cross multiply
    12,199.98x = 16,837.29 × 7,164.93
  4. Step 4: Simplify right side
    12,199.98x = 120,638,004.24
  5. Step 5: Solve for x
    x = 120,638,004.24/12,199.98
  6. Step 6: Final answer
    x = 9,888.38

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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.