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Finding the Fourth Proportional to 9,275.42, 12,792.63 and 8,153.96

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Solution

The fourth proportional to 9,275.42, 12,792.63 and 8,153.96 is: 11,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.42 : 12,792.63 = 8,153.96 : x
  2. Step 2: Convert to fraction form
    9,275.42/12,792.63 = 8,153.96/x
  3. Step 3: Cross multiply
    9,275.42x = 12,792.63 × 8,153.96
  4. Step 4: Simplify right side
    9,275.42x = 104,310,593.31
  5. Step 5: Solve for x
    x = 104,310,593.31/9,275.42
  6. Step 6: Final answer
    x = 11,245.92

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Double scale
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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.