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Finding the Fourth Proportional to 13,690.70, 18,893.16 and 7,403.06

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Solution

The fourth proportional to 13,690.70, 18,893.16 and 7,403.06 is: 10,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.70 : 18,893.16 = 7,403.06 : x
  2. Step 2: Convert to fraction form
    13,690.70/18,893.16 = 7,403.06/x
  3. Step 3: Cross multiply
    13,690.70x = 18,893.16 × 7,403.06
  4. Step 4: Simplify right side
    13,690.70x = 139,867,197.07
  5. Step 5: Solve for x
    x = 139,867,197.07/13,690.70
  6. Step 6: Final answer
    x = 10,216.22

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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.