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Finding the Fourth Proportional to 15,106.98, 20,850.59 and 9,652.54

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Solution

The fourth proportional to 15,106.98, 20,850.59 and 9,652.54 is: 13,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.98 : 20,850.59 = 9,652.54 : x
  2. Step 2: Convert to fraction form
    15,106.98/20,850.59 = 9,652.54/x
  3. Step 3: Cross multiply
    15,106.98x = 20,850.59 × 9,652.54
  4. Step 4: Simplify right side
    15,106.98x = 201,261,154.00
  5. Step 5: Solve for x
    x = 201,261,154.00/15,106.98
  6. Step 6: Final answer
    x = 13,322.39

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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.