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Finding the Fourth Proportional to 15,580, 21,500.36 and 8,506.42

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Solution

The fourth proportional to 15,580, 21,500.36 and 8,506.42 is: 11,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580 : 21,500.36 = 8,506.42 : x
  2. Step 2: Convert to fraction form
    15,580/21,500.36 = 8,506.42/x
  3. Step 3: Cross multiply
    15,580x = 21,500.36 × 8,506.42
  4. Step 4: Simplify right side
    15,580x = 182,891,092.31
  5. Step 5: Solve for x
    x = 182,891,092.31/15,580
  6. Step 6: Final answer
    x = 11,738.84

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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.