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Finding the Fourth Proportional to 12,797.65, 17,660.22 and 7,132.10

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Solution

The fourth proportional to 12,797.65, 17,660.22 and 7,132.10 is: 9,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.65 : 17,660.22 = 7,132.10 : x
  2. Step 2: Convert to fraction form
    12,797.65/17,660.22 = 7,132.10/x
  3. Step 3: Cross multiply
    12,797.65x = 17,660.22 × 7,132.10
  4. Step 4: Simplify right side
    12,797.65x = 125,954,455.06
  5. Step 5: Solve for x
    x = 125,954,455.06/12,797.65
  6. Step 6: Final answer
    x = 9,842.00

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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.