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Finding the Fourth Proportional to 15,687.84, 23,540.64 and 5,833.92

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Solution

The fourth proportional to 15,687.84, 23,540.64 and 5,833.92 is: 8,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.84 : 23,540.64 = 5,833.92 : x
  2. Step 2: Convert to fraction form
    15,687.84/23,540.64 = 5,833.92/x
  3. Step 3: Cross multiply
    15,687.84x = 23,540.64 × 5,833.92
  4. Step 4: Simplify right side
    15,687.84x = 137,334,210.51
  5. Step 5: Solve for x
    x = 137,334,210.51/15,687.84
  6. Step 6: Final answer
    x = 8,754.18

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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.