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Finding the Fourth Proportional to 14,417.82, 21,627 and 5,653.08

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Solution

The fourth proportional to 14,417.82, 21,627 and 5,653.08 is: 8,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.82 : 21,627 = 5,653.08 : x
  2. Step 2: Convert to fraction form
    14,417.82/21,627 = 5,653.08/x
  3. Step 3: Cross multiply
    14,417.82x = 21,627 × 5,653.08
  4. Step 4: Simplify right side
    14,417.82x = 122,259,161.16
  5. Step 5: Solve for x
    x = 122,259,161.16/14,417.82
  6. Step 6: Final answer
    x = 8,479.73

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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.