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Finding the Fourth Proportional to 10,592.40, 14,643 and 8,086.80

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Solution

The fourth proportional to 10,592.40, 14,643 and 8,086.80 is: 11,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.40 : 14,643 = 8,086.80 : x
  2. Step 2: Convert to fraction form
    10,592.40/14,643 = 8,086.80/x
  3. Step 3: Cross multiply
    10,592.40x = 14,643 × 8,086.80
  4. Step 4: Simplify right side
    10,592.40x = 118,415,012.40
  5. Step 5: Solve for x
    x = 118,415,012.40/10,592.40
  6. Step 6: Final answer
    x = 11,179.24

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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.