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Finding the Fourth Proportional to 15,702.69, 21,669.24 and 8,629.10

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Solution

The fourth proportional to 15,702.69, 21,669.24 and 8,629.10 is: 11,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.69 : 21,669.24 = 8,629.10 : x
  2. Step 2: Convert to fraction form
    15,702.69/21,669.24 = 8,629.10/x
  3. Step 3: Cross multiply
    15,702.69x = 21,669.24 × 8,629.10
  4. Step 4: Simplify right side
    15,702.69x = 186,985,930.54
  5. Step 5: Solve for x
    x = 186,985,930.54/15,702.69
  6. Step 6: Final answer
    x = 11,907.89

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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.