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Finding the Fourth Proportional to 15,984.84, 23,958.59 and 9,415.64

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Solution

The fourth proportional to 15,984.84, 23,958.59 and 9,415.64 is: 14,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.84 : 23,958.59 = 9,415.64 : x
  2. Step 2: Convert to fraction form
    15,984.84/23,958.59 = 9,415.64/x
  3. Step 3: Cross multiply
    15,984.84x = 23,958.59 × 9,415.64
  4. Step 4: Simplify right side
    15,984.84x = 225,585,471.17
  5. Step 5: Solve for x
    x = 225,585,471.17/15,984.84
  6. Step 6: Final answer
    x = 14,112.46

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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.