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Finding the Fourth Proportional to 10,441, 14,409.80 and 5,965.40

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Solution

The fourth proportional to 10,441, 14,409.80 and 5,965.40 is: 8,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441 : 14,409.80 = 5,965.40 : x
  2. Step 2: Convert to fraction form
    10,441/14,409.80 = 5,965.40/x
  3. Step 3: Cross multiply
    10,441x = 14,409.80 × 5,965.40
  4. Step 4: Simplify right side
    10,441x = 85,960,220.92
  5. Step 5: Solve for x
    x = 85,960,220.92/10,441
  6. Step 6: Final answer
    x = 8,232.95

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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.