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Finding the Fourth Proportional to 6,914.82, 10,319.04 and 6,176.64

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Solution

The fourth proportional to 6,914.82, 10,319.04 and 6,176.64 is: 9,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.82 : 10,319.04 = 6,176.64 : x
  2. Step 2: Convert to fraction form
    6,914.82/10,319.04 = 6,176.64/x
  3. Step 3: Cross multiply
    6,914.82x = 10,319.04 × 6,176.64
  4. Step 4: Simplify right side
    6,914.82x = 63,736,995.23
  5. Step 5: Solve for x
    x = 63,736,995.23/6,914.82
  6. Step 6: Final answer
    x = 9,217.45

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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.