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Finding the Fourth Proportional to 6,443.07, 9,645.15 and 5,827.07

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Solution

The fourth proportional to 6,443.07, 9,645.15 and 5,827.07 is: 8,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.07 : 9,645.15 = 5,827.07 : x
  2. Step 2: Convert to fraction form
    6,443.07/9,645.15 = 5,827.07/x
  3. Step 3: Cross multiply
    6,443.07x = 9,645.15 × 5,827.07
  4. Step 4: Simplify right side
    6,443.07x = 56,202,915.98
  5. Step 5: Solve for x
    x = 56,202,915.98/6,443.07
  6. Step 6: Final answer
    x = 8,723.00

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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.