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Finding the Fourth Proportional to 15,842.68, 23,768.51 and 7,935.64

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Solution

The fourth proportional to 15,842.68, 23,768.51 and 7,935.64 is: 11,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.68 : 23,768.51 = 7,935.64 : x
  2. Step 2: Convert to fraction form
    15,842.68/23,768.51 = 7,935.64/x
  3. Step 3: Cross multiply
    15,842.68x = 23,768.51 × 7,935.64
  4. Step 4: Simplify right side
    15,842.68x = 188,618,373.29
  5. Step 5: Solve for x
    x = 188,618,373.29/15,842.68
  6. Step 6: Final answer
    x = 11,905.71

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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.