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Finding the Fourth Proportional to 7,687.71, 10,609.58 and 4,284.94

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Solution

The fourth proportional to 7,687.71, 10,609.58 and 4,284.94 is: 5,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.71 : 10,609.58 = 4,284.94 : x
  2. Step 2: Convert to fraction form
    7,687.71/10,609.58 = 4,284.94/x
  3. Step 3: Cross multiply
    7,687.71x = 10,609.58 × 4,284.94
  4. Step 4: Simplify right side
    7,687.71x = 45,461,413.73
  5. Step 5: Solve for x
    x = 45,461,413.73/7,687.71
  6. Step 6: Final answer
    x = 5,913.52

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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.