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Finding the Fourth Proportional to 17,971.20, 26,956.80 and 9,223.20

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Solution

The fourth proportional to 17,971.20, 26,956.80 and 9,223.20 is: 13,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.20 : 26,956.80 = 9,223.20 : x
  2. Step 2: Convert to fraction form
    17,971.20/26,956.80 = 9,223.20/x
  3. Step 3: Cross multiply
    17,971.20x = 26,956.80 × 9,223.20
  4. Step 4: Simplify right side
    17,971.20x = 248,627,957.76
  5. Step 5: Solve for x
    x = 248,627,957.76/17,971.20
  6. Step 6: Final answer
    x = 13,834.80

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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.