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Finding the Fourth Proportional to 10,805.10, 16,207.64 and 2,597.10

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Solution

The fourth proportional to 10,805.10, 16,207.64 and 2,597.10 is: 3,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.10 : 16,207.64 = 2,597.10 : x
  2. Step 2: Convert to fraction form
    10,805.10/16,207.64 = 2,597.10/x
  3. Step 3: Cross multiply
    10,805.10x = 16,207.64 × 2,597.10
  4. Step 4: Simplify right side
    10,805.10x = 42,092,861.84
  5. Step 5: Solve for x
    x = 42,092,861.84/10,805.10
  6. Step 6: Final answer
    x = 3,895.65

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Similar ratio
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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.