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Finding the Fourth Proportional to 16,000.18, 23,989.96 and 6,646.64

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Solution

The fourth proportional to 16,000.18, 23,989.96 and 6,646.64 is: 9,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.18 : 23,989.96 = 6,646.64 : x
  2. Step 2: Convert to fraction form
    16,000.18/23,989.96 = 6,646.64/x
  3. Step 3: Cross multiply
    16,000.18x = 23,989.96 × 6,646.64
  4. Step 4: Simplify right side
    16,000.18x = 159,452,474.55
  5. Step 5: Solve for x
    x = 159,452,474.55/16,000.18
  6. Step 6: Final answer
    x = 9,965.67

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1.5x scale

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.