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Finding the Fourth Proportional to 6,468.66, 8,925.93 and 3,674.16

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Solution

The fourth proportional to 6,468.66, 8,925.93 and 3,674.16 is: 5,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.66 : 8,925.93 = 3,674.16 : x
  2. Step 2: Convert to fraction form
    6,468.66/8,925.93 = 3,674.16/x
  3. Step 3: Cross multiply
    6,468.66x = 8,925.93 × 3,674.16
  4. Step 4: Simplify right side
    6,468.66x = 32,795,294.97
  5. Step 5: Solve for x
    x = 32,795,294.97/6,468.66
  6. Step 6: Final answer
    x = 5,069.87

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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.