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Finding the Fourth Proportional to 15,993.67, 23,993.33 and 7,688.74

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Solution

The fourth proportional to 15,993.67, 23,993.33 and 7,688.74 is: 11,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993.67 : 23,993.33 = 7,688.74 : x
  2. Step 2: Convert to fraction form
    15,993.67/23,993.33 = 7,688.74/x
  3. Step 3: Cross multiply
    15,993.67x = 23,993.33 × 7,688.74
  4. Step 4: Simplify right side
    15,993.67x = 184,478,375.36
  5. Step 5: Solve for x
    x = 184,478,375.36/15,993.67
  6. Step 6: Final answer
    x = 11,534.47

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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.