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Finding the Fourth Proportional to 14,417.44, 21,629.44 and 6,098.16

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Solution

The fourth proportional to 14,417.44, 21,629.44 and 6,098.16 is: 9,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.44 : 21,629.44 = 6,098.16 : x
  2. Step 2: Convert to fraction form
    14,417.44/21,629.44 = 6,098.16/x
  3. Step 3: Cross multiply
    14,417.44x = 21,629.44 × 6,098.16
  4. Step 4: Simplify right side
    14,417.44x = 131,899,785.83
  5. Step 5: Solve for x
    x = 131,899,785.83/14,417.44
  6. Step 6: Final answer
    x = 9,148.63

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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.