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Finding the Fourth Proportional to 10,857.32, 16,267.84 and 10,452.84

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Solution

The fourth proportional to 10,857.32, 16,267.84 and 10,452.84 is: 15,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.32 : 16,267.84 = 10,452.84 : x
  2. Step 2: Convert to fraction form
    10,857.32/16,267.84 = 10,452.84/x
  3. Step 3: Cross multiply
    10,857.32x = 16,267.84 × 10,452.84
  4. Step 4: Simplify right side
    10,857.32x = 170,045,128.67
  5. Step 5: Solve for x
    x = 170,045,128.67/10,857.32
  6. Step 6: Final answer
    x = 15,661.80

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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.