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Finding the Fourth Proportional to 14,462.50, 19,958.25 and 7,838.50

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Solution

The fourth proportional to 14,462.50, 19,958.25 and 7,838.50 is: 10,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.50 : 19,958.25 = 7,838.50 : x
  2. Step 2: Convert to fraction form
    14,462.50/19,958.25 = 7,838.50/x
  3. Step 3: Cross multiply
    14,462.50x = 19,958.25 × 7,838.50
  4. Step 4: Simplify right side
    14,462.50x = 156,442,742.63
  5. Step 5: Solve for x
    x = 156,442,742.63/14,462.50
  6. Step 6: Final answer
    x = 10,817.13

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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.