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Finding the Fourth Proportional to 5,693.95, 8,542.10 and 2,407.06

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Solution

The fourth proportional to 5,693.95, 8,542.10 and 2,407.06 is: 3,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.95 : 8,542.10 = 2,407.06 : x
  2. Step 2: Convert to fraction form
    5,693.95/8,542.10 = 2,407.06/x
  3. Step 3: Cross multiply
    5,693.95x = 8,542.10 × 2,407.06
  4. Step 4: Simplify right side
    5,693.95x = 20,561,347.23
  5. Step 5: Solve for x
    x = 20,561,347.23/5,693.95
  6. Step 6: Final answer
    x = 3,611.09

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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.