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Finding the Fourth Proportional to 6,394.40, 9,596.40 and 6,364.64

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Solution

The fourth proportional to 6,394.40, 9,596.40 and 6,364.64 is: 9,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.40 : 9,596.40 = 6,364.64 : x
  2. Step 2: Convert to fraction form
    6,394.40/9,596.40 = 6,364.64/x
  3. Step 3: Cross multiply
    6,394.40x = 9,596.40 × 6,364.64
  4. Step 4: Simplify right side
    6,394.40x = 61,077,631.30
  5. Step 5: Solve for x
    x = 61,077,631.30/6,394.40
  6. Step 6: Final answer
    x = 9,551.74

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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.