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Finding the Fourth Proportional to 9,205.61, 13,810.22 and 3,657.92

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Solution

The fourth proportional to 9,205.61, 13,810.22 and 3,657.92 is: 5,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.61 : 13,810.22 = 3,657.92 : x
  2. Step 2: Convert to fraction form
    9,205.61/13,810.22 = 3,657.92/x
  3. Step 3: Cross multiply
    9,205.61x = 13,810.22 × 3,657.92
  4. Step 4: Simplify right side
    9,205.61x = 50,516,661.65
  5. Step 5: Solve for x
    x = 50,516,661.65/9,205.61
  6. Step 6: Final answer
    x = 5,487.60

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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.