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Finding the Fourth Proportional to 7,096.36, 10,646.72 and 6,411.12

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Solution

The fourth proportional to 7,096.36, 10,646.72 and 6,411.12 is: 9,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.36 : 10,646.72 = 6,411.12 : x
  2. Step 2: Convert to fraction form
    7,096.36/10,646.72 = 6,411.12/x
  3. Step 3: Cross multiply
    7,096.36x = 10,646.72 × 6,411.12
  4. Step 4: Simplify right side
    7,096.36x = 68,257,399.53
  5. Step 5: Solve for x
    x = 68,257,399.53/7,096.36
  6. Step 6: Final answer
    x = 9,618.65

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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.