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Finding the Fourth Proportional to 9,762.68, 13,469.19 and 6,405.18

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Solution

The fourth proportional to 9,762.68, 13,469.19 and 6,405.18 is: 8,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.68 : 13,469.19 = 6,405.18 : x
  2. Step 2: Convert to fraction form
    9,762.68/13,469.19 = 6,405.18/x
  3. Step 3: Cross multiply
    9,762.68x = 13,469.19 × 6,405.18
  4. Step 4: Simplify right side
    9,762.68x = 86,272,511.88
  5. Step 5: Solve for x
    x = 86,272,511.88/9,762.68
  6. Step 6: Final answer
    x = 8,836.97

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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.