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Finding the Fourth Proportional to 16,309.32, 24,457.72 and 6,943.40

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Solution

The fourth proportional to 16,309.32, 24,457.72 and 6,943.40 is: 10,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.32 : 24,457.72 = 6,943.40 : x
  2. Step 2: Convert to fraction form
    16,309.32/24,457.72 = 6,943.40/x
  3. Step 3: Cross multiply
    16,309.32x = 24,457.72 × 6,943.40
  4. Step 4: Simplify right side
    16,309.32x = 169,819,733.05
  5. Step 5: Solve for x
    x = 169,819,733.05/16,309.32
  6. Step 6: Final answer
    x = 10,412.43

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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.