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Finding the Fourth Proportional to 14,652.48, 21,968.64 and 6,856.32

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Solution

The fourth proportional to 14,652.48, 21,968.64 and 6,856.32 is: 10,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.48 : 21,968.64 = 6,856.32 : x
  2. Step 2: Convert to fraction form
    14,652.48/21,968.64 = 6,856.32/x
  3. Step 3: Cross multiply
    14,652.48x = 21,968.64 × 6,856.32
  4. Step 4: Simplify right side
    14,652.48x = 150,624,025.80
  5. Step 5: Solve for x
    x = 150,624,025.80/14,652.48
  6. Step 6: Final answer
    x = 10,279.76

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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.