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Finding the Fourth Proportional to 7,083.99, 9,775.29 and 4,100.01

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Solution

The fourth proportional to 7,083.99, 9,775.29 and 4,100.01 is: 5,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.99 : 9,775.29 = 4,100.01 : x
  2. Step 2: Convert to fraction form
    7,083.99/9,775.29 = 4,100.01/x
  3. Step 3: Cross multiply
    7,083.99x = 9,775.29 × 4,100.01
  4. Step 4: Simplify right side
    7,083.99x = 40,078,811.19
  5. Step 5: Solve for x
    x = 40,078,811.19/7,083.99
  6. Step 6: Final answer
    x = 5,657.66

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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.