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Finding the Fourth Proportional to 6,840.88, 9,435.12 and 4,322.07

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Solution

The fourth proportional to 6,840.88, 9,435.12 and 4,322.07 is: 5,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.88 : 9,435.12 = 4,322.07 : x
  2. Step 2: Convert to fraction form
    6,840.88/9,435.12 = 4,322.07/x
  3. Step 3: Cross multiply
    6,840.88x = 9,435.12 × 4,322.07
  4. Step 4: Simplify right side
    6,840.88x = 40,779,249.10
  5. Step 5: Solve for x
    x = 40,779,249.10/6,840.88
  6. Step 6: Final answer
    x = 5,961.11

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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.