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Finding the Fourth Proportional to 6,394.47, 8,823.87 and 3,561.63

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Solution

The fourth proportional to 6,394.47, 8,823.87 and 3,561.63 is: 4,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.47 : 8,823.87 = 3,561.63 : x
  2. Step 2: Convert to fraction form
    6,394.47/8,823.87 = 3,561.63/x
  3. Step 3: Cross multiply
    6,394.47x = 8,823.87 × 3,561.63
  4. Step 4: Simplify right side
    6,394.47x = 31,427,360.11
  5. Step 5: Solve for x
    x = 31,427,360.11/6,394.47
  6. Step 6: Final answer
    x = 4,914.77

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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.