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Finding the Fourth Proportional to 15,922.12, 23,883.71 and 7,157.06

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Solution

The fourth proportional to 15,922.12, 23,883.71 and 7,157.06 is: 10,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.12 : 23,883.71 = 7,157.06 : x
  2. Step 2: Convert to fraction form
    15,922.12/23,883.71 = 7,157.06/x
  3. Step 3: Cross multiply
    15,922.12x = 23,883.71 × 7,157.06
  4. Step 4: Simplify right side
    15,922.12x = 170,937,029.09
  5. Step 5: Solve for x
    x = 170,937,029.09/15,922.12
  6. Step 6: Final answer
    x = 10,735.82

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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.