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Finding the Fourth Proportional to 13,408.66, 18,503.66 and 7,440.20

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Solution

The fourth proportional to 13,408.66, 18,503.66 and 7,440.20 is: 10,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.66 : 18,503.66 = 7,440.20 : x
  2. Step 2: Convert to fraction form
    13,408.66/18,503.66 = 7,440.20/x
  3. Step 3: Cross multiply
    13,408.66x = 18,503.66 × 7,440.20
  4. Step 4: Simplify right side
    13,408.66x = 137,670,931.13
  5. Step 5: Solve for x
    x = 137,670,931.13/13,408.66
  6. Step 6: Final answer
    x = 10,267.31

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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.