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Finding the Fourth Proportional to 15,834.76, 23,752.11 and 7,510.23

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Solution

The fourth proportional to 15,834.76, 23,752.11 and 7,510.23 is: 11,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.76 : 23,752.11 = 7,510.23 : x
  2. Step 2: Convert to fraction form
    15,834.76/23,752.11 = 7,510.23/x
  3. Step 3: Cross multiply
    15,834.76x = 23,752.11 × 7,510.23
  4. Step 4: Simplify right side
    15,834.76x = 178,383,837.25
  5. Step 5: Solve for x
    x = 178,383,837.25/15,834.76
  6. Step 6: Final answer
    x = 11,265.33

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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.