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Finding the Fourth Proportional to 5,981.77, 8,971.95 and 1,599.57

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Solution

The fourth proportional to 5,981.77, 8,971.95 and 1,599.57 is: 2,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.77 : 8,971.95 = 1,599.57 : x
  2. Step 2: Convert to fraction form
    5,981.77/8,971.95 = 1,599.57/x
  3. Step 3: Cross multiply
    5,981.77x = 8,971.95 × 1,599.57
  4. Step 4: Simplify right side
    5,981.77x = 14,351,262.06
  5. Step 5: Solve for x
    x = 14,351,262.06/5,981.77
  6. Step 6: Final answer
    x = 2,399.17

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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.