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Finding the Fourth Proportional to 14,176.71, 19,563 and 8,207.94

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Solution

The fourth proportional to 14,176.71, 19,563 and 8,207.94 is: 11,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.71 : 19,563 = 8,207.94 : x
  2. Step 2: Convert to fraction form
    14,176.71/19,563 = 8,207.94/x
  3. Step 3: Cross multiply
    14,176.71x = 19,563 × 8,207.94
  4. Step 4: Simplify right side
    14,176.71x = 160,571,930.22
  5. Step 5: Solve for x
    x = 160,571,930.22/14,176.71
  6. Step 6: Final answer
    x = 11,326.46

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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.