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Finding the Fourth Proportional to 7,662.64, 10,573.92 and 4,305.78

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Solution

The fourth proportional to 7,662.64, 10,573.92 and 4,305.78 is: 5,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.64 : 10,573.92 = 4,305.78 : x
  2. Step 2: Convert to fraction form
    7,662.64/10,573.92 = 4,305.78/x
  3. Step 3: Cross multiply
    7,662.64x = 10,573.92 × 4,305.78
  4. Step 4: Simplify right side
    7,662.64x = 45,528,973.26
  5. Step 5: Solve for x
    x = 45,528,973.26/7,662.64
  6. Step 6: Final answer
    x = 5,941.68

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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.