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Finding the Fourth Proportional to 8,232.02, 11,359.47 and 4,646.78

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Solution

The fourth proportional to 8,232.02, 11,359.47 and 4,646.78 is: 6,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.02 : 11,359.47 = 4,646.78 : x
  2. Step 2: Convert to fraction form
    8,232.02/11,359.47 = 4,646.78/x
  3. Step 3: Cross multiply
    8,232.02x = 11,359.47 × 4,646.78
  4. Step 4: Simplify right side
    8,232.02x = 52,784,958.01
  5. Step 5: Solve for x
    x = 52,784,958.01/8,232.02
  6. Step 6: Final answer
    x = 6,412.15

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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.