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Finding the Fourth Proportional to 16,343.70, 24,494.01 and 6,477.60

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Solution

The fourth proportional to 16,343.70, 24,494.01 and 6,477.60 is: 9,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.70 : 24,494.01 = 6,477.60 : x
  2. Step 2: Convert to fraction form
    16,343.70/24,494.01 = 6,477.60/x
  3. Step 3: Cross multiply
    16,343.70x = 24,494.01 × 6,477.60
  4. Step 4: Simplify right side
    16,343.70x = 158,662,399.18
  5. Step 5: Solve for x
    x = 158,662,399.18/16,343.70
  6. Step 6: Final answer
    x = 9,707.86

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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.