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Finding the Fourth Proportional to 10,511.64, 14,503.98 and 5,795.64

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Solution

The fourth proportional to 10,511.64, 14,503.98 and 5,795.64 is: 7,996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.64 : 14,503.98 = 5,795.64 : x
  2. Step 2: Convert to fraction form
    10,511.64/14,503.98 = 5,795.64/x
  3. Step 3: Cross multiply
    10,511.64x = 14,503.98 × 5,795.64
  4. Step 4: Simplify right side
    10,511.64x = 84,059,846.65
  5. Step 5: Solve for x
    x = 84,059,846.65/10,511.64
  6. Step 6: Final answer
    x = 7,996.83

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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.