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Finding the Fourth Proportional to 10,853.50, 16,253.70 and 9,801.70

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Solution

The fourth proportional to 10,853.50, 16,253.70 and 9,801.70 is: 14,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.50 : 16,253.70 = 9,801.70 : x
  2. Step 2: Convert to fraction form
    10,853.50/16,253.70 = 9,801.70/x
  3. Step 3: Cross multiply
    10,853.50x = 16,253.70 × 9,801.70
  4. Step 4: Simplify right side
    10,853.50x = 159,313,891.29
  5. Step 5: Solve for x
    x = 159,313,891.29/10,853.50
  6. Step 6: Final answer
    x = 14,678.57

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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.