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Finding the Fourth Proportional to 16,271.56, 24,406.80 and 6,905.56

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Solution

The fourth proportional to 16,271.56, 24,406.80 and 6,905.56 is: 10,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.56 : 24,406.80 = 6,905.56 : x
  2. Step 2: Convert to fraction form
    16,271.56/24,406.80 = 6,905.56/x
  3. Step 3: Cross multiply
    16,271.56x = 24,406.80 × 6,905.56
  4. Step 4: Simplify right side
    16,271.56x = 168,542,621.81
  5. Step 5: Solve for x
    x = 168,542,621.81/16,271.56
  6. Step 6: Final answer
    x = 10,358.11

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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.