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Finding the Fourth Proportional to 11,291.14, 15,582.05 and 8,453.51

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Solution

The fourth proportional to 11,291.14, 15,582.05 and 8,453.51 is: 11,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.14 : 15,582.05 = 8,453.51 : x
  2. Step 2: Convert to fraction form
    11,291.14/15,582.05 = 8,453.51/x
  3. Step 3: Cross multiply
    11,291.14x = 15,582.05 × 8,453.51
  4. Step 4: Simplify right side
    11,291.14x = 131,722,895.32
  5. Step 5: Solve for x
    x = 131,722,895.32/11,291.14
  6. Step 6: Final answer
    x = 11,666.04

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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.