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Finding the Fourth Proportional to 8,497.53, 11,730.51 and 5,096.16

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Solution

The fourth proportional to 8,497.53, 11,730.51 and 5,096.16 is: 7,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.53 : 11,730.51 = 5,096.16 : x
  2. Step 2: Convert to fraction form
    8,497.53/11,730.51 = 5,096.16/x
  3. Step 3: Cross multiply
    8,497.53x = 11,730.51 × 5,096.16
  4. Step 4: Simplify right side
    8,497.53x = 59,780,555.84
  5. Step 5: Solve for x
    x = 59,780,555.84/8,497.53
  6. Step 6: Final answer
    x = 7,035.05

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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.