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Finding the Fourth Proportional to 15,746, 21,729.52 and 8,673.08

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Solution

The fourth proportional to 15,746, 21,729.52 and 8,673.08 is: 11,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746 : 21,729.52 = 8,673.08 : x
  2. Step 2: Convert to fraction form
    15,746/21,729.52 = 8,673.08/x
  3. Step 3: Cross multiply
    15,746x = 21,729.52 × 8,673.08
  4. Step 4: Simplify right side
    15,746x = 188,461,865.32
  5. Step 5: Solve for x
    x = 188,461,865.32/15,746
  6. Step 6: Final answer
    x = 11,968.87

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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.