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Finding the Fourth Proportional to 9,771.60, 14,664.66 and 5,613.60

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Solution

The fourth proportional to 9,771.60, 14,664.66 and 5,613.60 is: 8,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.60 : 14,664.66 = 5,613.60 : x
  2. Step 2: Convert to fraction form
    9,771.60/14,664.66 = 5,613.60/x
  3. Step 3: Cross multiply
    9,771.60x = 14,664.66 × 5,613.60
  4. Step 4: Simplify right side
    9,771.60x = 82,321,535.38
  5. Step 5: Solve for x
    x = 82,321,535.38/9,771.60
  6. Step 6: Final answer
    x = 8,424.57

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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.