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Finding the Fourth Proportional to 10,611.12, 14,642.88 and 5,895.44

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Solution

The fourth proportional to 10,611.12, 14,642.88 and 5,895.44 is: 8,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.12 : 14,642.88 = 5,895.44 : x
  2. Step 2: Convert to fraction form
    10,611.12/14,642.88 = 5,895.44/x
  3. Step 3: Cross multiply
    10,611.12x = 14,642.88 × 5,895.44
  4. Step 4: Simplify right side
    10,611.12x = 86,326,220.47
  5. Step 5: Solve for x
    x = 86,326,220.47/10,611.12
  6. Step 6: Final answer
    x = 8,135.45

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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.