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Finding the Fourth Proportional to 10,494.16, 15,745.62 and 4,258.61

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Solution

The fourth proportional to 10,494.16, 15,745.62 and 4,258.61 is: 6,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.16 : 15,745.62 = 4,258.61 : x
  2. Step 2: Convert to fraction form
    10,494.16/15,745.62 = 4,258.61/x
  3. Step 3: Cross multiply
    10,494.16x = 15,745.62 × 4,258.61
  4. Step 4: Simplify right side
    10,494.16x = 67,054,451.08
  5. Step 5: Solve for x
    x = 67,054,451.08/10,494.16
  6. Step 6: Final answer
    x = 6,389.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.