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Finding the Fourth Proportional to 8,297.04, 11,447.64 and 4,758.16

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Solution

The fourth proportional to 8,297.04, 11,447.64 and 4,758.16 is: 6,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.04 : 11,447.64 = 4,758.16 : x
  2. Step 2: Convert to fraction form
    8,297.04/11,447.64 = 4,758.16/x
  3. Step 3: Cross multiply
    8,297.04x = 11,447.64 × 4,758.16
  4. Step 4: Simplify right side
    8,297.04x = 54,469,702.74
  5. Step 5: Solve for x
    x = 54,469,702.74/8,297.04
  6. Step 6: Final answer
    x = 6,564.96

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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.