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Finding the Fourth Proportional to 6,507.68, 9,771.24 and 6,410.48

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Solution

The fourth proportional to 6,507.68, 9,771.24 and 6,410.48 is: 9,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.68 : 9,771.24 = 6,410.48 : x
  2. Step 2: Convert to fraction form
    6,507.68/9,771.24 = 6,410.48/x
  3. Step 3: Cross multiply
    6,507.68x = 9,771.24 × 6,410.48
  4. Step 4: Simplify right side
    6,507.68x = 62,638,338.60
  5. Step 5: Solve for x
    x = 62,638,338.60/6,507.68
  6. Step 6: Final answer
    x = 9,625.29

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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.