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Finding the Fourth Proportional to 11,447.73, 15,798.03 and 7,466.56

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Solution

The fourth proportional to 11,447.73, 15,798.03 and 7,466.56 is: 10,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.73 : 15,798.03 = 7,466.56 : x
  2. Step 2: Convert to fraction form
    11,447.73/15,798.03 = 7,466.56/x
  3. Step 3: Cross multiply
    11,447.73x = 15,798.03 × 7,466.56
  4. Step 4: Simplify right side
    11,447.73x = 117,956,822.55
  5. Step 5: Solve for x
    x = 117,956,822.55/11,447.73
  6. Step 6: Final answer
    x = 10,303.95

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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.