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Finding the Fourth Proportional to 23,978.84, 35,973.12 and 9,188.24

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Solution

The fourth proportional to 23,978.84, 35,973.12 and 9,188.24 is: 13,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.84 : 35,973.12 = 9,188.24 : x
  2. Step 2: Convert to fraction form
    23,978.84/35,973.12 = 9,188.24/x
  3. Step 3: Cross multiply
    23,978.84x = 35,973.12 × 9,188.24
  4. Step 4: Simplify right side
    23,978.84x = 330,529,660.11
  5. Step 5: Solve for x
    x = 330,529,660.11/23,978.84
  6. Step 6: Final answer
    x = 13,784.22

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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.