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Finding the Fourth Proportional to 10,705.70, 16,058.55 and 9,409.70

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Solution

The fourth proportional to 10,705.70, 16,058.55 and 9,409.70 is: 14,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.70 : 16,058.55 = 9,409.70 : x
  2. Step 2: Convert to fraction form
    10,705.70/16,058.55 = 9,409.70/x
  3. Step 3: Cross multiply
    10,705.70x = 16,058.55 × 9,409.70
  4. Step 4: Simplify right side
    10,705.70x = 151,106,137.94
  5. Step 5: Solve for x
    x = 151,106,137.94/10,705.70
  6. Step 6: Final answer
    x = 14,114.55

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.