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Finding the Fourth Proportional to 13,457.60, 20,178.30 and 6,896.60

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Solution

The fourth proportional to 13,457.60, 20,178.30 and 6,896.60 is: 10,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.60 : 20,178.30 = 6,896.60 : x
  2. Step 2: Convert to fraction form
    13,457.60/20,178.30 = 6,896.60/x
  3. Step 3: Cross multiply
    13,457.60x = 20,178.30 × 6,896.60
  4. Step 4: Simplify right side
    13,457.60x = 139,161,663.78
  5. Step 5: Solve for x
    x = 139,161,663.78/13,457.60
  6. Step 6: Final answer
    x = 10,340.75

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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.