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Finding the Fourth Proportional to 10,446.56, 14,416.08 and 5,731.28

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Solution

The fourth proportional to 10,446.56, 14,416.08 and 5,731.28 is: 7,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.56 : 14,416.08 = 5,731.28 : x
  2. Step 2: Convert to fraction form
    10,446.56/14,416.08 = 5,731.28/x
  3. Step 3: Cross multiply
    10,446.56x = 14,416.08 × 5,731.28
  4. Step 4: Simplify right side
    10,446.56x = 82,622,590.98
  5. Step 5: Solve for x
    x = 82,622,590.98/10,446.56
  6. Step 6: Final answer
    x = 7,909.07

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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.