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Finding the Fourth Proportional to 15,782.78, 23,667.99 and 5,916.67

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Solution

The fourth proportional to 15,782.78, 23,667.99 and 5,916.67 is: 8,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.78 : 23,667.99 = 5,916.67 : x
  2. Step 2: Convert to fraction form
    15,782.78/23,667.99 = 5,916.67/x
  3. Step 3: Cross multiply
    15,782.78x = 23,667.99 × 5,916.67
  4. Step 4: Simplify right side
    15,782.78x = 140,035,686.39
  5. Step 5: Solve for x
    x = 140,035,686.39/15,782.78
  6. Step 6: Final answer
    x = 8,872.69

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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.