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Finding the Fourth Proportional to 6,999.30, 9,658.30 and 4,310.08

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Solution

The fourth proportional to 6,999.30, 9,658.30 and 4,310.08 is: 5,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.30 : 9,658.30 = 4,310.08 : x
  2. Step 2: Convert to fraction form
    6,999.30/9,658.30 = 4,310.08/x
  3. Step 3: Cross multiply
    6,999.30x = 9,658.30 × 4,310.08
  4. Step 4: Simplify right side
    6,999.30x = 41,628,045.66
  5. Step 5: Solve for x
    x = 41,628,045.66/6,999.30
  6. Step 6: Final answer
    x = 5,947.46

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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.