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Finding the Fourth Proportional to 15,812.10, 23,711.67 and 5,946.12

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Solution

The fourth proportional to 15,812.10, 23,711.67 and 5,946.12 is: 8,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.10 : 23,711.67 = 5,946.12 : x
  2. Step 2: Convert to fraction form
    15,812.10/23,711.67 = 5,946.12/x
  3. Step 3: Cross multiply
    15,812.10x = 23,711.67 × 5,946.12
  4. Step 4: Simplify right side
    15,812.10x = 140,992,435.22
  5. Step 5: Solve for x
    x = 140,992,435.22/15,812.10
  6. Step 6: Final answer
    x = 8,916.74

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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.