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Finding the Fourth Proportional to 8,209.04, 11,300 and 7,159.28

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Solution

The fourth proportional to 8,209.04, 11,300 and 7,159.28 is: 9,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.04 : 11,300 = 7,159.28 : x
  2. Step 2: Convert to fraction form
    8,209.04/11,300 = 7,159.28/x
  3. Step 3: Cross multiply
    8,209.04x = 11,300 × 7,159.28
  4. Step 4: Simplify right side
    8,209.04x = 80,899,864
  5. Step 5: Solve for x
    x = 80,899,864/8,209.04
  6. Step 6: Final answer
    x = 9,854.97

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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.