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Finding the Fourth Proportional to 6,511.96, 9,753.90 and 4,047.40

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Solution

The fourth proportional to 6,511.96, 9,753.90 and 4,047.40 is: 6,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.96 : 9,753.90 = 4,047.40 : x
  2. Step 2: Convert to fraction form
    6,511.96/9,753.90 = 4,047.40/x
  3. Step 3: Cross multiply
    6,511.96x = 9,753.90 × 4,047.40
  4. Step 4: Simplify right side
    6,511.96x = 39,477,934.86
  5. Step 5: Solve for x
    x = 39,477,934.86/6,511.96
  6. Step 6: Final answer
    x = 6,062.37

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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.