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Finding the Fourth Proportional to 9,784.33, 13,493.47 and 8,275.06

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Solution

The fourth proportional to 9,784.33, 13,493.47 and 8,275.06 is: 11,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.33 : 13,493.47 = 8,275.06 : x
  2. Step 2: Convert to fraction form
    9,784.33/13,493.47 = 8,275.06/x
  3. Step 3: Cross multiply
    9,784.33x = 13,493.47 × 8,275.06
  4. Step 4: Simplify right side
    9,784.33x = 111,659,209.65
  5. Step 5: Solve for x
    x = 111,659,209.65/9,784.33
  6. Step 6: Final answer
    x = 11,412.04

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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.