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Finding the Fourth Proportional to 7,164.76, 10,694.78 and 6,637.14

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Solution

The fourth proportional to 7,164.76, 10,694.78 and 6,637.14 is: 9,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.76 : 10,694.78 = 6,637.14 : x
  2. Step 2: Convert to fraction form
    7,164.76/10,694.78 = 6,637.14/x
  3. Step 3: Cross multiply
    7,164.76x = 10,694.78 × 6,637.14
  4. Step 4: Simplify right side
    7,164.76x = 70,982,752.13
  5. Step 5: Solve for x
    x = 70,982,752.13/7,164.76
  6. Step 6: Final answer
    x = 9,907.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.