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Finding the Fourth Proportional to 14,236.14, 19,645.88 and 7,948.50

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Solution

The fourth proportional to 14,236.14, 19,645.88 and 7,948.50 is: 10,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236.14 : 19,645.88 = 7,948.50 : x
  2. Step 2: Convert to fraction form
    14,236.14/19,645.88 = 7,948.50/x
  3. Step 3: Cross multiply
    14,236.14x = 19,645.88 × 7,948.50
  4. Step 4: Simplify right side
    14,236.14x = 156,155,277.18
  5. Step 5: Solve for x
    x = 156,155,277.18/14,236.14
  6. Step 6: Final answer
    x = 10,968.93

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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.