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Finding the Fourth Proportional to 23,830.98, 35,746.73 and 7,191.17

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Solution

The fourth proportional to 23,830.98, 35,746.73 and 7,191.17 is: 10,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.98 : 35,746.73 = 7,191.17 : x
  2. Step 2: Convert to fraction form
    23,830.98/35,746.73 = 7,191.17/x
  3. Step 3: Cross multiply
    23,830.98x = 35,746.73 × 7,191.17
  4. Step 4: Simplify right side
    23,830.98x = 257,060,812.37
  5. Step 5: Solve for x
    x = 257,060,812.37/23,830.98
  6. Step 6: Final answer
    x = 10,786.83

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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.