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Finding the Fourth Proportional to 6,583.70, 9,083.40 and 4,695.59

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Solution

The fourth proportional to 6,583.70, 9,083.40 and 4,695.59 is: 6,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.70 : 9,083.40 = 4,695.59 : x
  2. Step 2: Convert to fraction form
    6,583.70/9,083.40 = 4,695.59/x
  3. Step 3: Cross multiply
    6,583.70x = 9,083.40 × 4,695.59
  4. Step 4: Simplify right side
    6,583.70x = 42,651,922.21
  5. Step 5: Solve for x
    x = 42,651,922.21/6,583.70
  6. Step 6: Final answer
    x = 6,478.41

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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.