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Finding the Fourth Proportional to 6,557.42, 9,829.17 and 4,472.25

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Solution

The fourth proportional to 6,557.42, 9,829.17 and 4,472.25 is: 6,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.42 : 9,829.17 = 4,472.25 : x
  2. Step 2: Convert to fraction form
    6,557.42/9,829.17 = 4,472.25/x
  3. Step 3: Cross multiply
    6,557.42x = 9,829.17 × 4,472.25
  4. Step 4: Simplify right side
    6,557.42x = 43,958,505.53
  5. Step 5: Solve for x
    x = 43,958,505.53/6,557.42
  6. Step 6: Final answer
    x = 6,703.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.