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Finding the Fourth Proportional to 7,684.96, 10,596.36 and 6,562.48

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Solution

The fourth proportional to 7,684.96, 10,596.36 and 6,562.48 is: 9,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.96 : 10,596.36 = 6,562.48 : x
  2. Step 2: Convert to fraction form
    7,684.96/10,596.36 = 6,562.48/x
  3. Step 3: Cross multiply
    7,684.96x = 10,596.36 × 6,562.48
  4. Step 4: Simplify right side
    7,684.96x = 69,538,400.57
  5. Step 5: Solve for x
    x = 69,538,400.57/7,684.96
  6. Step 6: Final answer
    x = 9,048.64

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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.