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Finding the Fourth Proportional to 9,896.58, 14,903.60 and 8,613.54

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Solution

The fourth proportional to 9,896.58, 14,903.60 and 8,613.54 is: 12,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.58 : 14,903.60 = 8,613.54 : x
  2. Step 2: Convert to fraction form
    9,896.58/14,903.60 = 8,613.54/x
  3. Step 3: Cross multiply
    9,896.58x = 14,903.60 × 8,613.54
  4. Step 4: Simplify right side
    9,896.58x = 128,372,711.68
  5. Step 5: Solve for x
    x = 128,372,711.68/9,896.58
  6. Step 6: Final answer
    x = 12,971.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.