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Finding the Fourth Proportional to 9,655.65, 14,483.74 and 3,414.78

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Solution

The fourth proportional to 9,655.65, 14,483.74 and 3,414.78 is: 5,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.65 : 14,483.74 = 3,414.78 : x
  2. Step 2: Convert to fraction form
    9,655.65/14,483.74 = 3,414.78/x
  3. Step 3: Cross multiply
    9,655.65x = 14,483.74 × 3,414.78
  4. Step 4: Simplify right side
    9,655.65x = 49,458,713.26
  5. Step 5: Solve for x
    x = 49,458,713.26/9,655.65
  6. Step 6: Final answer
    x = 5,122.26

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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.