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Finding the Fourth Proportional to 6,496.32, 9,730.68 and 6,268.98

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Solution

The fourth proportional to 6,496.32, 9,730.68 and 6,268.98 is: 9,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.32 : 9,730.68 = 6,268.98 : x
  2. Step 2: Convert to fraction form
    6,496.32/9,730.68 = 6,268.98/x
  3. Step 3: Cross multiply
    6,496.32x = 9,730.68 × 6,268.98
  4. Step 4: Simplify right side
    6,496.32x = 61,001,438.31
  5. Step 5: Solve for x
    x = 61,001,438.31/6,496.32
  6. Step 6: Final answer
    x = 9,390.15

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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.