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Finding the Fourth Proportional to 17,971.76, 26,957.64 and 8,609.60

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Solution

The fourth proportional to 17,971.76, 26,957.64 and 8,609.60 is: 12,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.76 : 26,957.64 = 8,609.60 : x
  2. Step 2: Convert to fraction form
    17,971.76/26,957.64 = 8,609.60/x
  3. Step 3: Cross multiply
    17,971.76x = 26,957.64 × 8,609.60
  4. Step 4: Simplify right side
    17,971.76x = 232,094,497.34
  5. Step 5: Solve for x
    x = 232,094,497.34/17,971.76
  6. Step 6: Final answer
    x = 12,914.40

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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.