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Finding the Fourth Proportional to 8,486.08, 11,702.16 and 5,652.64

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Solution

The fourth proportional to 8,486.08, 11,702.16 and 5,652.64 is: 7,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.08 : 11,702.16 = 5,652.64 : x
  2. Step 2: Convert to fraction form
    8,486.08/11,702.16 = 5,652.64/x
  3. Step 3: Cross multiply
    8,486.08x = 11,702.16 × 5,652.64
  4. Step 4: Simplify right side
    8,486.08x = 66,148,097.70
  5. Step 5: Solve for x
    x = 66,148,097.70/8,486.08
  6. Step 6: Final answer
    x = 7,794.89

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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.