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Finding the Fourth Proportional to 11,201.60, 16,802.40 and 7,702.40

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Solution

The fourth proportional to 11,201.60, 16,802.40 and 7,702.40 is: 11,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.60 : 16,802.40 = 7,702.40 : x
  2. Step 2: Convert to fraction form
    11,201.60/16,802.40 = 7,702.40/x
  3. Step 3: Cross multiply
    11,201.60x = 16,802.40 × 7,702.40
  4. Step 4: Simplify right side
    11,201.60x = 129,418,805.76
  5. Step 5: Solve for x
    x = 129,418,805.76/11,201.60
  6. Step 6: Final answer
    x = 11,553.60

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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.