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Finding the Fourth Proportional to 11,460.14, 15,815.78 and 6,424.72

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Solution

The fourth proportional to 11,460.14, 15,815.78 and 6,424.72 is: 8,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.14 : 15,815.78 = 6,424.72 : x
  2. Step 2: Convert to fraction form
    11,460.14/15,815.78 = 6,424.72/x
  3. Step 3: Cross multiply
    11,460.14x = 15,815.78 × 6,424.72
  4. Step 4: Simplify right side
    11,460.14x = 101,611,958.08
  5. Step 5: Solve for x
    x = 101,611,958.08/11,460.14
  6. Step 6: Final answer
    x = 8,866.55

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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.