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Finding the Fourth Proportional to 9,705.60, 14,524.80 and 5,812.80

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Solution

The fourth proportional to 9,705.60, 14,524.80 and 5,812.80 is: 8,699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.60 : 14,524.80 = 5,812.80 : x
  2. Step 2: Convert to fraction form
    9,705.60/14,524.80 = 5,812.80/x
  3. Step 3: Cross multiply
    9,705.60x = 14,524.80 × 5,812.80
  4. Step 4: Simplify right side
    9,705.60x = 84,429,757.44
  5. Step 5: Solve for x
    x = 84,429,757.44/9,705.60
  6. Step 6: Final answer
    x = 8,699.08

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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.