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Finding the Fourth Proportional to 14,897.75, 22,346.64 and 6,689.75

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Solution

The fourth proportional to 14,897.75, 22,346.64 and 6,689.75 is: 10,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.75 : 22,346.64 = 6,689.75 : x
  2. Step 2: Convert to fraction form
    14,897.75/22,346.64 = 6,689.75/x
  3. Step 3: Cross multiply
    14,897.75x = 22,346.64 × 6,689.75
  4. Step 4: Simplify right side
    14,897.75x = 149,493,434.94
  5. Step 5: Solve for x
    x = 149,493,434.94/14,897.75
  6. Step 6: Final answer
    x = 10,034.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.