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Finding the Fourth Proportional to 6,437.88, 9,656.82 and 4,457.33

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Solution

The fourth proportional to 6,437.88, 9,656.82 and 4,457.33 is: 6,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.88 : 9,656.82 = 4,457.33 : x
  2. Step 2: Convert to fraction form
    6,437.88/9,656.82 = 4,457.33/x
  3. Step 3: Cross multiply
    6,437.88x = 9,656.82 × 4,457.33
  4. Step 4: Simplify right side
    6,437.88x = 43,043,621.42
  5. Step 5: Solve for x
    x = 43,043,621.42/6,437.88
  6. Step 6: Final answer
    x = 6,685.99

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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.