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Finding the Fourth Proportional to 15,665.22, 23,503.98 and 6,893.98

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Solution

The fourth proportional to 15,665.22, 23,503.98 and 6,893.98 is: 10,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.22 : 23,503.98 = 6,893.98 : x
  2. Step 2: Convert to fraction form
    15,665.22/23,503.98 = 6,893.98/x
  3. Step 3: Cross multiply
    15,665.22x = 23,503.98 × 6,893.98
  4. Step 4: Simplify right side
    15,665.22x = 162,035,950.81
  5. Step 5: Solve for x
    x = 162,035,950.81/15,665.22
  6. Step 6: Final answer
    x = 10,343.68

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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.