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Finding the Fourth Proportional to 10,611.35, 14,643.64 and 5,895.64

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Solution

The fourth proportional to 10,611.35, 14,643.64 and 5,895.64 is: 8,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.35 : 14,643.64 = 5,895.64 : x
  2. Step 2: Convert to fraction form
    10,611.35/14,643.64 = 5,895.64/x
  3. Step 3: Cross multiply
    10,611.35x = 14,643.64 × 5,895.64
  4. Step 4: Simplify right side
    10,611.35x = 86,333,539.87
  5. Step 5: Solve for x
    x = 86,333,539.87/10,611.35
  6. Step 6: Final answer
    x = 8,135.96

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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.