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Finding the Fourth Proportional to 10,052.91, 13,869.23 and 7,406.64

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Solution

The fourth proportional to 10,052.91, 13,869.23 and 7,406.64 is: 10,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.91 : 13,869.23 = 7,406.64 : x
  2. Step 2: Convert to fraction form
    10,052.91/13,869.23 = 7,406.64/x
  3. Step 3: Cross multiply
    10,052.91x = 13,869.23 × 7,406.64
  4. Step 4: Simplify right side
    10,052.91x = 102,724,356.65
  5. Step 5: Solve for x
    x = 102,724,356.65/10,052.91
  6. Step 6: Final answer
    x = 10,218.37

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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.