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Finding the Fourth Proportional to 11,471.82, 15,823.11 and 7,497.55

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Solution

The fourth proportional to 11,471.82, 15,823.11 and 7,497.55 is: 10,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.82 : 15,823.11 = 7,497.55 : x
  2. Step 2: Convert to fraction form
    11,471.82/15,823.11 = 7,497.55/x
  3. Step 3: Cross multiply
    11,471.82x = 15,823.11 × 7,497.55
  4. Step 4: Simplify right side
    11,471.82x = 118,634,558.38
  5. Step 5: Solve for x
    x = 118,634,558.38/11,471.82
  6. Step 6: Final answer
    x = 10,341.39

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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.