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Finding the Fourth Proportional to 10,441.50, 14,409.11 and 5,661.31

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Solution

The fourth proportional to 10,441.50, 14,409.11 and 5,661.31 is: 7,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.50 : 14,409.11 = 5,661.31 : x
  2. Step 2: Convert to fraction form
    10,441.50/14,409.11 = 5,661.31/x
  3. Step 3: Cross multiply
    10,441.50x = 14,409.11 × 5,661.31
  4. Step 4: Simplify right side
    10,441.50x = 81,574,416.66
  5. Step 5: Solve for x
    x = 81,574,416.66/10,441.50
  6. Step 6: Final answer
    x = 7,812.52

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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.