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Finding the Fourth Proportional to 7,684.56, 10,605.16 and 4,327.52

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Solution

The fourth proportional to 7,684.56, 10,605.16 and 4,327.52 is: 5,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.56 : 10,605.16 = 4,327.52 : x
  2. Step 2: Convert to fraction form
    7,684.56/10,605.16 = 4,327.52/x
  3. Step 3: Cross multiply
    7,684.56x = 10,605.16 × 4,327.52
  4. Step 4: Simplify right side
    7,684.56x = 45,894,042.00
  5. Step 5: Solve for x
    x = 45,894,042.00/7,684.56
  6. Step 6: Final answer
    x = 5,972.24

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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.