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Finding the Fourth Proportional to 11,657.60, 17,488.32 and 5,813.12

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Solution

The fourth proportional to 11,657.60, 17,488.32 and 5,813.12 is: 8,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.60 : 17,488.32 = 5,813.12 : x
  2. Step 2: Convert to fraction form
    11,657.60/17,488.32 = 5,813.12/x
  3. Step 3: Cross multiply
    11,657.60x = 17,488.32 × 5,813.12
  4. Step 4: Simplify right side
    11,657.60x = 101,661,702.76
  5. Step 5: Solve for x
    x = 101,661,702.76/11,657.60
  6. Step 6: Final answer
    x = 8,720.64

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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.