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Finding the Fourth Proportional to 37,859.46, 56,792.16 and 11,564.46

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Solution

The fourth proportional to 37,859.46, 56,792.16 and 11,564.46 is: 17,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,859.46 : 56,792.16 = 11,564.46 : x
  2. Step 2: Convert to fraction form
    37,859.46/56,792.16 = 11,564.46/x
  3. Step 3: Cross multiply
    37,859.46x = 56,792.16 × 11,564.46
  4. Step 4: Simplify right side
    37,859.46x = 656,770,662.63
  5. Step 5: Solve for x
    x = 656,770,662.63/37,859.46
  6. Step 6: Final answer
    x = 17,347.60

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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.