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Finding the Fourth Proportional to 9,643.67, 14,467.22 and 3,407.30

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Solution

The fourth proportional to 9,643.67, 14,467.22 and 3,407.30 is: 5,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.67 : 14,467.22 = 3,407.30 : x
  2. Step 2: Convert to fraction form
    9,643.67/14,467.22 = 3,407.30/x
  3. Step 3: Cross multiply
    9,643.67x = 14,467.22 × 3,407.30
  4. Step 4: Simplify right side
    9,643.67x = 49,294,158.71
  5. Step 5: Solve for x
    x = 49,294,158.71/9,643.67
  6. Step 6: Final answer
    x = 5,111.56

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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.