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Finding the Fourth Proportional to 10,585.96, 14,608.01 and 5,805

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Solution

The fourth proportional to 10,585.96, 14,608.01 and 5,805 is: 8,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.96 : 14,608.01 = 5,805 : x
  2. Step 2: Convert to fraction form
    10,585.96/14,608.01 = 5,805/x
  3. Step 3: Cross multiply
    10,585.96x = 14,608.01 × 5,805
  4. Step 4: Simplify right side
    10,585.96x = 84,799,512.56
  5. Step 5: Solve for x
    x = 84,799,512.56/10,585.96
  6. Step 6: Final answer
    x = 8,010.57

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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.