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Finding the Fourth Proportional to 5,007, 6,909.72 and 2,769.06

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Solution

The fourth proportional to 5,007, 6,909.72 and 2,769.06 is: 3,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007 : 6,909.72 = 2,769.06 : x
  2. Step 2: Convert to fraction form
    5,007/6,909.72 = 2,769.06/x
  3. Step 3: Cross multiply
    5,007x = 6,909.72 × 2,769.06
  4. Step 4: Simplify right side
    5,007x = 19,133,429.26
  5. Step 5: Solve for x
    x = 19,133,429.26/5,007
  6. Step 6: Final answer
    x = 3,821.34

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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.