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Finding the Fourth Proportional to 15,842.48, 23,754.93 and 6,489.06

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Solution

The fourth proportional to 15,842.48, 23,754.93 and 6,489.06 is: 9,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.48 : 23,754.93 = 6,489.06 : x
  2. Step 2: Convert to fraction form
    15,842.48/23,754.93 = 6,489.06/x
  3. Step 3: Cross multiply
    15,842.48x = 23,754.93 × 6,489.06
  4. Step 4: Simplify right side
    15,842.48x = 154,147,166.07
  5. Step 5: Solve for x
    x = 154,147,166.07/15,842.48
  6. Step 6: Final answer
    x = 9,729.99

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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.