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Finding the Fourth Proportional to 10,666.86, 16,000.29 and 2,876.28

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Solution

The fourth proportional to 10,666.86, 16,000.29 and 2,876.28 is: 4,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.86 : 16,000.29 = 2,876.28 : x
  2. Step 2: Convert to fraction form
    10,666.86/16,000.29 = 2,876.28/x
  3. Step 3: Cross multiply
    10,666.86x = 16,000.29 × 2,876.28
  4. Step 4: Simplify right side
    10,666.86x = 46,021,314.12
  5. Step 5: Solve for x
    x = 46,021,314.12/10,666.86
  6. Step 6: Final answer
    x = 4,314.42

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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.