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Finding the Fourth Proportional to 16,498.75, 24,748.14 and 7,264.75

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Solution

The fourth proportional to 16,498.75, 24,748.14 and 7,264.75 is: 10,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.75 : 24,748.14 = 7,264.75 : x
  2. Step 2: Convert to fraction form
    16,498.75/24,748.14 = 7,264.75/x
  3. Step 3: Cross multiply
    16,498.75x = 24,748.14 × 7,264.75
  4. Step 4: Simplify right side
    16,498.75x = 179,789,050.07
  5. Step 5: Solve for x
    x = 179,789,050.07/16,498.75
  6. Step 6: Final answer
    x = 10,897.13

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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.