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Finding the Fourth Proportional to 14,246.52, 19,658.86 and 8,278.12

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Solution

The fourth proportional to 14,246.52, 19,658.86 and 8,278.12 is: 11,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246.52 : 19,658.86 = 8,278.12 : x
  2. Step 2: Convert to fraction form
    14,246.52/19,658.86 = 8,278.12/x
  3. Step 3: Cross multiply
    14,246.52x = 19,658.86 × 8,278.12
  4. Step 4: Simplify right side
    14,246.52x = 162,738,402.14
  5. Step 5: Solve for x
    x = 162,738,402.14/14,246.52
  6. Step 6: Final answer
    x = 11,423.03

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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.