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Finding the Fourth Proportional to 15,807.84, 21,814.56 and 8,734.56

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Solution

The fourth proportional to 15,807.84, 21,814.56 and 8,734.56 is: 12,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.84 : 21,814.56 = 8,734.56 : x
  2. Step 2: Convert to fraction form
    15,807.84/21,814.56 = 8,734.56/x
  3. Step 3: Cross multiply
    15,807.84x = 21,814.56 × 8,734.56
  4. Step 4: Simplify right side
    15,807.84x = 190,540,583.19
  5. Step 5: Solve for x
    x = 190,540,583.19/15,807.84
  6. Step 6: Final answer
    x = 12,053.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.