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Finding the Fourth Proportional to 9,705.50, 14,558.25 and 2,409.50

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Solution

The fourth proportional to 9,705.50, 14,558.25 and 2,409.50 is: 3,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.50 : 14,558.25 = 2,409.50 : x
  2. Step 2: Convert to fraction form
    9,705.50/14,558.25 = 2,409.50/x
  3. Step 3: Cross multiply
    9,705.50x = 14,558.25 × 2,409.50
  4. Step 4: Simplify right side
    9,705.50x = 35,078,103.38
  5. Step 5: Solve for x
    x = 35,078,103.38/9,705.50
  6. Step 6: Final answer
    x = 3,614.25

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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.