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Finding the Fourth Proportional to 12,722.16, 17,555.88 and 7,416.60

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Solution

The fourth proportional to 12,722.16, 17,555.88 and 7,416.60 is: 10,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.16 : 17,555.88 = 7,416.60 : x
  2. Step 2: Convert to fraction form
    12,722.16/17,555.88 = 7,416.60/x
  3. Step 3: Cross multiply
    12,722.16x = 17,555.88 × 7,416.60
  4. Step 4: Simplify right side
    12,722.16x = 130,204,939.61
  5. Step 5: Solve for x
    x = 130,204,939.61/12,722.16
  6. Step 6: Final answer
    x = 10,234.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.