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Finding the Fourth Proportional to 14,616.96, 21,926.16 and 6,298.08

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Solution

The fourth proportional to 14,616.96, 21,926.16 and 6,298.08 is: 9,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.96 : 21,926.16 = 6,298.08 : x
  2. Step 2: Convert to fraction form
    14,616.96/21,926.16 = 6,298.08/x
  3. Step 3: Cross multiply
    14,616.96x = 21,926.16 × 6,298.08
  4. Step 4: Simplify right side
    14,616.96x = 138,092,709.77
  5. Step 5: Solve for x
    x = 138,092,709.77/14,616.96
  6. Step 6: Final answer
    x = 9,447.43

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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.