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Finding the Fourth Proportional to 13,338.95, 18,407.76 and 7,371

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Solution

The fourth proportional to 13,338.95, 18,407.76 and 7,371 is: 10,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.95 : 18,407.76 = 7,371 : x
  2. Step 2: Convert to fraction form
    13,338.95/18,407.76 = 7,371/x
  3. Step 3: Cross multiply
    13,338.95x = 18,407.76 × 7,371
  4. Step 4: Simplify right side
    13,338.95x = 135,683,571.32
  5. Step 5: Solve for x
    x = 135,683,571.32/13,338.95
  6. Step 6: Final answer
    x = 10,171.99

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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.