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Finding the Fourth Proportional to 11,702.80, 17,468.64 and 10,153.64

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Solution

The fourth proportional to 11,702.80, 17,468.64 and 10,153.64 is: 15,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.80 : 17,468.64 = 10,153.64 : x
  2. Step 2: Convert to fraction form
    11,702.80/17,468.64 = 10,153.64/x
  3. Step 3: Cross multiply
    11,702.80x = 17,468.64 × 10,153.64
  4. Step 4: Simplify right side
    11,702.80x = 177,370,281.85
  5. Step 5: Solve for x
    x = 177,370,281.85/11,702.80
  6. Step 6: Final answer
    x = 15,156.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.