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Finding the Fourth Proportional to 10,586.15, 14,609.08 and 5,805.81

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Solution

The fourth proportional to 10,586.15, 14,609.08 and 5,805.81 is: 8,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.15 : 14,609.08 = 5,805.81 : x
  2. Step 2: Convert to fraction form
    10,586.15/14,609.08 = 5,805.81/x
  3. Step 3: Cross multiply
    10,586.15x = 14,609.08 × 5,805.81
  4. Step 4: Simplify right side
    10,586.15x = 84,817,542.75
  5. Step 5: Solve for x
    x = 84,817,542.75/10,586.15
  6. Step 6: Final answer
    x = 8,012.12

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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.