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Finding the Fourth Proportional to 27,484.16, 41,217 and 9,950.32

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Solution

The fourth proportional to 27,484.16, 41,217 and 9,950.32 is: 14,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,484.16 : 41,217 = 9,950.32 : x
  2. Step 2: Convert to fraction form
    27,484.16/41,217 = 9,950.32/x
  3. Step 3: Cross multiply
    27,484.16x = 41,217 × 9,950.32
  4. Step 4: Simplify right side
    27,484.16x = 410,122,339.44
  5. Step 5: Solve for x
    x = 410,122,339.44/27,484.16
  6. Step 6: Final answer
    x = 14,922.13

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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.