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Finding the Fourth Proportional to 16,364.65, 22,586.16 and 9,649.88

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Solution

The fourth proportional to 16,364.65, 22,586.16 and 9,649.88 is: 13,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.65 : 22,586.16 = 9,649.88 : x
  2. Step 2: Convert to fraction form
    16,364.65/22,586.16 = 9,649.88/x
  3. Step 3: Cross multiply
    16,364.65x = 22,586.16 × 9,649.88
  4. Step 4: Simplify right side
    16,364.65x = 217,953,596.61
  5. Step 5: Solve for x
    x = 217,953,596.61/16,364.65
  6. Step 6: Final answer
    x = 13,318.56

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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.