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Finding the Fourth Proportional to 16,409.80, 24,613.51 and 6,412.67

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Solution

The fourth proportional to 16,409.80, 24,613.51 and 6,412.67 is: 9,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.80 : 24,613.51 = 6,412.67 : x
  2. Step 2: Convert to fraction form
    16,409.80/24,613.51 = 6,412.67/x
  3. Step 3: Cross multiply
    16,409.80x = 24,613.51 × 6,412.67
  4. Step 4: Simplify right side
    16,409.80x = 157,838,162.04
  5. Step 5: Solve for x
    x = 157,838,162.04/16,409.80
  6. Step 6: Final answer
    x = 9,618.53

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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.