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Finding the Fourth Proportional to 12,685.68, 17,507.16 and 7,096.32

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Solution

The fourth proportional to 12,685.68, 17,507.16 and 7,096.32 is: 9,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.68 : 17,507.16 = 7,096.32 : x
  2. Step 2: Convert to fraction form
    12,685.68/17,507.16 = 7,096.32/x
  3. Step 3: Cross multiply
    12,685.68x = 17,507.16 × 7,096.32
  4. Step 4: Simplify right side
    12,685.68x = 124,236,409.65
  5. Step 5: Solve for x
    x = 124,236,409.65/12,685.68
  6. Step 6: Final answer
    x = 9,793.44

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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.