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Finding the Fourth Proportional to 16,700.60, 25,048.74 and 6,311

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Solution

The fourth proportional to 16,700.60, 25,048.74 and 6,311 is: 9,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.60 : 25,048.74 = 6,311 : x
  2. Step 2: Convert to fraction form
    16,700.60/25,048.74 = 6,311/x
  3. Step 3: Cross multiply
    16,700.60x = 25,048.74 × 6,311
  4. Step 4: Simplify right side
    16,700.60x = 158,082,598.14
  5. Step 5: Solve for x
    x = 158,082,598.14/16,700.60
  6. Step 6: Final answer
    x = 9,465.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.