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Finding the Fourth Proportional to 13,753.64, 20,614.30 and 6,342.32

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Solution

The fourth proportional to 13,753.64, 20,614.30 and 6,342.32 is: 9,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.64 : 20,614.30 = 6,342.32 : x
  2. Step 2: Convert to fraction form
    13,753.64/20,614.30 = 6,342.32/x
  3. Step 3: Cross multiply
    13,753.64x = 20,614.30 × 6,342.32
  4. Step 4: Simplify right side
    13,753.64x = 130,742,487.18
  5. Step 5: Solve for x
    x = 130,742,487.18/13,753.64
  6. Step 6: Final answer
    x = 9,506.03

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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.