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Finding the Fourth Proportional to 16,585.96, 22,889 and 9,416.36

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Solution

The fourth proportional to 16,585.96, 22,889 and 9,416.36 is: 12,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.96 : 22,889 = 9,416.36 : x
  2. Step 2: Convert to fraction form
    16,585.96/22,889 = 9,416.36/x
  3. Step 3: Cross multiply
    16,585.96x = 22,889 × 9,416.36
  4. Step 4: Simplify right side
    16,585.96x = 215,531,064.04
  5. Step 5: Solve for x
    x = 215,531,064.04/16,585.96
  6. Step 6: Final answer
    x = 12,994.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.