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Finding the Fourth Proportional to 23,927.84, 35,897.14 and 7,289.18

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Solution

The fourth proportional to 23,927.84, 35,897.14 and 7,289.18 is: 10,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,927.84 : 35,897.14 = 7,289.18 : x
  2. Step 2: Convert to fraction form
    23,927.84/35,897.14 = 7,289.18/x
  3. Step 3: Cross multiply
    23,927.84x = 35,897.14 × 7,289.18
  4. Step 4: Simplify right side
    23,927.84x = 261,660,714.95
  5. Step 5: Solve for x
    x = 261,660,714.95/23,927.84
  6. Step 6: Final answer
    x = 10,935.41

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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.