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Finding the Fourth Proportional to 14,228.58, 19,635.98 and 7,942.17

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Solution

The fourth proportional to 14,228.58, 19,635.98 and 7,942.17 is: 10,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.58 : 19,635.98 = 7,942.17 : x
  2. Step 2: Convert to fraction form
    14,228.58/19,635.98 = 7,942.17/x
  3. Step 3: Cross multiply
    14,228.58x = 19,635.98 × 7,942.17
  4. Step 4: Simplify right side
    14,228.58x = 155,952,291.28
  5. Step 5: Solve for x
    x = 155,952,291.28/14,228.58
  6. Step 6: Final answer
    x = 10,960.50

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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.