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Finding the Fourth Proportional to 15,386.83, 23,072.04 and 7,983.83

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Solution

The fourth proportional to 15,386.83, 23,072.04 and 7,983.83 is: 11,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,386.83 : 23,072.04 = 7,983.83 : x
  2. Step 2: Convert to fraction form
    15,386.83/23,072.04 = 7,983.83/x
  3. Step 3: Cross multiply
    15,386.83x = 23,072.04 × 7,983.83
  4. Step 4: Simplify right side
    15,386.83x = 184,203,302.79
  5. Step 5: Solve for x
    x = 184,203,302.79/15,386.83
  6. Step 6: Final answer
    x = 11,971.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.