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Finding the Fourth Proportional to 9,705.80, 14,558.70 and 6,206.60

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Solution

The fourth proportional to 9,705.80, 14,558.70 and 6,206.60 is: 9,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.80 : 14,558.70 = 6,206.60 : x
  2. Step 2: Convert to fraction form
    9,705.80/14,558.70 = 6,206.60/x
  3. Step 3: Cross multiply
    9,705.80x = 14,558.70 × 6,206.60
  4. Step 4: Simplify right side
    9,705.80x = 90,360,027.42
  5. Step 5: Solve for x
    x = 90,360,027.42/9,705.80
  6. Step 6: Final answer
    x = 9,309.90

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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.