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Finding the Fourth Proportional to 11,290.92, 15,582.03 and 6,814.59

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Solution

The fourth proportional to 11,290.92, 15,582.03 and 6,814.59 is: 9,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.92 : 15,582.03 = 6,814.59 : x
  2. Step 2: Convert to fraction form
    11,290.92/15,582.03 = 6,814.59/x
  3. Step 3: Cross multiply
    11,290.92x = 15,582.03 × 6,814.59
  4. Step 4: Simplify right side
    11,290.92x = 106,185,145.82
  5. Step 5: Solve for x
    x = 106,185,145.82/11,290.92
  6. Step 6: Final answer
    x = 9,404.47

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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.