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Finding the Fourth Proportional to 10,586.80, 14,611.62 and 6,109.80

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Solution

The fourth proportional to 10,586.80, 14,611.62 and 6,109.80 is: 8,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.80 : 14,611.62 = 6,109.80 : x
  2. Step 2: Convert to fraction form
    10,586.80/14,611.62 = 6,109.80/x
  3. Step 3: Cross multiply
    10,586.80x = 14,611.62 × 6,109.80
  4. Step 4: Simplify right side
    10,586.80x = 89,274,075.88
  5. Step 5: Solve for x
    x = 89,274,075.88/10,586.80
  6. Step 6: Final answer
    x = 8,432.58

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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.