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Finding the Fourth Proportional to 6,773.04, 9,354.12 and 4,654.16

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Solution

The fourth proportional to 6,773.04, 9,354.12 and 4,654.16 is: 6,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.04 : 9,354.12 = 4,654.16 : x
  2. Step 2: Convert to fraction form
    6,773.04/9,354.12 = 4,654.16/x
  3. Step 3: Cross multiply
    6,773.04x = 9,354.12 × 4,654.16
  4. Step 4: Simplify right side
    6,773.04x = 43,535,571.14
  5. Step 5: Solve for x
    x = 43,535,571.14/6,773.04
  6. Step 6: Final answer
    x = 6,427.77

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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.