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Finding the Fourth Proportional to 11,291.67, 15,582.47 and 6,323.67

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Solution

The fourth proportional to 11,291.67, 15,582.47 and 6,323.67 is: 8,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.67 : 15,582.47 = 6,323.67 : x
  2. Step 2: Convert to fraction form
    11,291.67/15,582.47 = 6,323.67/x
  3. Step 3: Cross multiply
    11,291.67x = 15,582.47 × 6,323.67
  4. Step 4: Simplify right side
    11,291.67x = 98,538,366.45
  5. Step 5: Solve for x
    x = 98,538,366.45/11,291.67
  6. Step 6: Final answer
    x = 8,726.64

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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.