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Finding the Fourth Proportional to 12,683.70, 17,503.20 and 7,018.32

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Solution

The fourth proportional to 12,683.70, 17,503.20 and 7,018.32 is: 9,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.70 : 17,503.20 = 7,018.32 : x
  2. Step 2: Convert to fraction form
    12,683.70/17,503.20 = 7,018.32/x
  3. Step 3: Cross multiply
    12,683.70x = 17,503.20 × 7,018.32
  4. Step 4: Simplify right side
    12,683.70x = 122,843,058.62
  5. Step 5: Solve for x
    x = 122,843,058.62/12,683.70
  6. Step 6: Final answer
    x = 9,685.11

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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.