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Finding the Fourth Proportional to 10,574.69, 14,591.14 and 6,796.58

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Solution

The fourth proportional to 10,574.69, 14,591.14 and 6,796.58 is: 9,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.69 : 14,591.14 = 6,796.58 : x
  2. Step 2: Convert to fraction form
    10,574.69/14,591.14 = 6,796.58/x
  3. Step 3: Cross multiply
    10,574.69x = 14,591.14 × 6,796.58
  4. Step 4: Simplify right side
    10,574.69x = 99,169,760.35
  5. Step 5: Solve for x
    x = 99,169,760.35/10,574.69
  6. Step 6: Final answer
    x = 9,378.03

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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.