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Finding the Fourth Proportional to 14,137.95, 19,503 and 9,599.04

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Solution

The fourth proportional to 14,137.95, 19,503 and 9,599.04 is: 13,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.95 : 19,503 = 9,599.04 : x
  2. Step 2: Convert to fraction form
    14,137.95/19,503 = 9,599.04/x
  3. Step 3: Cross multiply
    14,137.95x = 19,503 × 9,599.04
  4. Step 4: Simplify right side
    14,137.95x = 187,210,077.12
  5. Step 5: Solve for x
    x = 187,210,077.12/14,137.95
  6. Step 6: Final answer
    x = 13,241.67

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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.