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Finding the Fourth Proportional to 10,439.68, 14,406.96 and 5,723.68

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Solution

The fourth proportional to 10,439.68, 14,406.96 and 5,723.68 is: 7,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.68 : 14,406.96 = 5,723.68 : x
  2. Step 2: Convert to fraction form
    10,439.68/14,406.96 = 5,723.68/x
  3. Step 3: Cross multiply
    10,439.68x = 14,406.96 × 5,723.68
  4. Step 4: Simplify right side
    10,439.68x = 82,460,828.81
  5. Step 5: Solve for x
    x = 82,460,828.81/10,439.68
  6. Step 6: Final answer
    x = 7,898.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.