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Finding the Fourth Proportional to 10,854.65, 16,244.97 and 9,101.63

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Solution

The fourth proportional to 10,854.65, 16,244.97 and 9,101.63 is: 13,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.65 : 16,244.97 = 9,101.63 : x
  2. Step 2: Convert to fraction form
    10,854.65/16,244.97 = 9,101.63/x
  3. Step 3: Cross multiply
    10,854.65x = 16,244.97 × 9,101.63
  4. Step 4: Simplify right side
    10,854.65x = 147,855,625.08
  5. Step 5: Solve for x
    x = 147,855,625.08/10,854.65
  6. Step 6: Final answer
    x = 13,621.42

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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.