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Finding the Fourth Proportional to 8,322.48, 11,485.17 and 4,596.48

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Solution

The fourth proportional to 8,322.48, 11,485.17 and 4,596.48 is: 6,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.48 : 11,485.17 = 4,596.48 : x
  2. Step 2: Convert to fraction form
    8,322.48/11,485.17 = 4,596.48/x
  3. Step 3: Cross multiply
    8,322.48x = 11,485.17 × 4,596.48
  4. Step 4: Simplify right side
    8,322.48x = 52,791,354.20
  5. Step 5: Solve for x
    x = 52,791,354.20/8,322.48
  6. Step 6: Final answer
    x = 6,343.22

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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.