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Finding the Fourth Proportional to 16,415.68, 24,609.84 and 7,646.08

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Solution

The fourth proportional to 16,415.68, 24,609.84 and 7,646.08 is: 11,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.68 : 24,609.84 = 7,646.08 : x
  2. Step 2: Convert to fraction form
    16,415.68/24,609.84 = 7,646.08/x
  3. Step 3: Cross multiply
    16,415.68x = 24,609.84 × 7,646.08
  4. Step 4: Simplify right side
    16,415.68x = 188,168,805.43
  5. Step 5: Solve for x
    x = 188,168,805.43/16,415.68
  6. Step 6: Final answer
    x = 11,462.75

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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.