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Finding the Fourth Proportional to 11,732.51, 16,192.95 and 7,019.93

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Solution

The fourth proportional to 11,732.51, 16,192.95 and 7,019.93 is: 9,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.51 : 16,192.95 = 7,019.93 : x
  2. Step 2: Convert to fraction form
    11,732.51/16,192.95 = 7,019.93/x
  3. Step 3: Cross multiply
    11,732.51x = 16,192.95 × 7,019.93
  4. Step 4: Simplify right side
    11,732.51x = 113,673,375.49
  5. Step 5: Solve for x
    x = 113,673,375.49/11,732.51
  6. Step 6: Final answer
    x = 9,688.75

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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.