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Finding the Fourth Proportional to 12,094.74, 16,683.03 and 7,614.63

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Solution

The fourth proportional to 12,094.74, 16,683.03 and 7,614.63 is: 10,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.74 : 16,683.03 = 7,614.63 : x
  2. Step 2: Convert to fraction form
    12,094.74/16,683.03 = 7,614.63/x
  3. Step 3: Cross multiply
    12,094.74x = 16,683.03 × 7,614.63
  4. Step 4: Simplify right side
    12,094.74x = 127,035,100.73
  5. Step 5: Solve for x
    x = 127,035,100.73/12,094.74
  6. Step 6: Final answer
    x = 10,503.33

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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.