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Finding the Fourth Proportional to 9,157.06, 12,636.63 and 4,965.22

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Solution

The fourth proportional to 9,157.06, 12,636.63 and 4,965.22 is: 6,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.06 : 12,636.63 = 4,965.22 : x
  2. Step 2: Convert to fraction form
    9,157.06/12,636.63 = 4,965.22/x
  3. Step 3: Cross multiply
    9,157.06x = 12,636.63 × 4,965.22
  4. Step 4: Simplify right side
    9,157.06x = 62,743,648.01
  5. Step 5: Solve for x
    x = 62,743,648.01/9,157.06
  6. Step 6: Final answer
    x = 6,851.94

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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.