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Finding the Fourth Proportional to 15,582.21, 21,506.21 and 9,208.54

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Solution

The fourth proportional to 15,582.21, 21,506.21 and 9,208.54 is: 12,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.21 : 21,506.21 = 9,208.54 : x
  2. Step 2: Convert to fraction form
    15,582.21/21,506.21 = 9,208.54/x
  3. Step 3: Cross multiply
    15,582.21x = 21,506.21 × 9,208.54
  4. Step 4: Simplify right side
    15,582.21x = 198,040,795.03
  5. Step 5: Solve for x
    x = 198,040,795.03/15,582.21
  6. Step 6: Final answer
    x = 12,709.42

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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.