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Finding the Fourth Proportional to 12,566.70, 17,344.62 and 7,260.81

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Solution

The fourth proportional to 12,566.70, 17,344.62 and 7,260.81 is: 10,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.70 : 17,344.62 = 7,260.81 : x
  2. Step 2: Convert to fraction form
    12,566.70/17,344.62 = 7,260.81/x
  3. Step 3: Cross multiply
    12,566.70x = 17,344.62 × 7,260.81
  4. Step 4: Simplify right side
    12,566.70x = 125,935,990.34
  5. Step 5: Solve for x
    x = 125,935,990.34/12,566.70
  6. Step 6: Final answer
    x = 10,021.41

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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.