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Finding the Fourth Proportional to 5,684.76, 8,527.61 and 1,736.90

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Solution

The fourth proportional to 5,684.76, 8,527.61 and 1,736.90 is: 2,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.76 : 8,527.61 = 1,736.90 : x
  2. Step 2: Convert to fraction form
    5,684.76/8,527.61 = 1,736.90/x
  3. Step 3: Cross multiply
    5,684.76x = 8,527.61 × 1,736.90
  4. Step 4: Simplify right side
    5,684.76x = 14,811,605.81
  5. Step 5: Solve for x
    x = 14,811,605.81/5,684.76
  6. Step 6: Final answer
    x = 2,605.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.