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Finding the Fourth Proportional to 7,728.67, 10,664.59 and 4,584.25

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Solution

The fourth proportional to 7,728.67, 10,664.59 and 4,584.25 is: 6,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.67 : 10,664.59 = 4,584.25 : x
  2. Step 2: Convert to fraction form
    7,728.67/10,664.59 = 4,584.25/x
  3. Step 3: Cross multiply
    7,728.67x = 10,664.59 × 4,584.25
  4. Step 4: Simplify right side
    7,728.67x = 48,889,146.71
  5. Step 5: Solve for x
    x = 48,889,146.71/7,728.67
  6. Step 6: Final answer
    x = 6,325.69

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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.