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Finding the Fourth Proportional to 14,598.87, 20,146.44 and 7,884.50

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Solution

The fourth proportional to 14,598.87, 20,146.44 and 7,884.50 is: 10,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598.87 : 20,146.44 = 7,884.50 : x
  2. Step 2: Convert to fraction form
    14,598.87/20,146.44 = 7,884.50/x
  3. Step 3: Cross multiply
    14,598.87x = 20,146.44 × 7,884.50
  4. Step 4: Simplify right side
    14,598.87x = 158,844,656.55
  5. Step 5: Solve for x
    x = 158,844,656.55/14,598.87
  6. Step 6: Final answer
    x = 10,880.61

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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.