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Finding the Fourth Proportional to 15,857.29, 23,786.16 and 7,538.16

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Solution

The fourth proportional to 15,857.29, 23,786.16 and 7,538.16 is: 11,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.29 : 23,786.16 = 7,538.16 : x
  2. Step 2: Convert to fraction form
    15,857.29/23,786.16 = 7,538.16/x
  3. Step 3: Cross multiply
    15,857.29x = 23,786.16 × 7,538.16
  4. Step 4: Simplify right side
    15,857.29x = 179,303,879.87
  5. Step 5: Solve for x
    x = 179,303,879.87/15,857.29
  6. Step 6: Final answer
    x = 11,307.35

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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.