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Finding the Fourth Proportional to 12,374.44, 18,566.22 and 5,802.76

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Solution

The fourth proportional to 12,374.44, 18,566.22 and 5,802.76 is: 8,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.44 : 18,566.22 = 5,802.76 : x
  2. Step 2: Convert to fraction form
    12,374.44/18,566.22 = 5,802.76/x
  3. Step 3: Cross multiply
    12,374.44x = 18,566.22 × 5,802.76
  4. Step 4: Simplify right side
    12,374.44x = 107,735,318.77
  5. Step 5: Solve for x
    x = 107,735,318.77/12,374.44
  6. Step 6: Final answer
    x = 8,706.28

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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.