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Finding the Fourth Proportional to 6,406.95, 8,841.42 and 3,574.41

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Solution

The fourth proportional to 6,406.95, 8,841.42 and 3,574.41 is: 4,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.95 : 8,841.42 = 3,574.41 : x
  2. Step 2: Convert to fraction form
    6,406.95/8,841.42 = 3,574.41/x
  3. Step 3: Cross multiply
    6,406.95x = 8,841.42 × 3,574.41
  4. Step 4: Simplify right side
    6,406.95x = 31,602,860.06
  5. Step 5: Solve for x
    x = 31,602,860.06/6,406.95
  6. Step 6: Final answer
    x = 4,932.59

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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.