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Finding the Fourth Proportional to 9,873.61, 13,627.14 and 6,047.53

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Solution

The fourth proportional to 9,873.61, 13,627.14 and 6,047.53 is: 8,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.61 : 13,627.14 = 6,047.53 : x
  2. Step 2: Convert to fraction form
    9,873.61/13,627.14 = 6,047.53/x
  3. Step 3: Cross multiply
    9,873.61x = 13,627.14 × 6,047.53
  4. Step 4: Simplify right side
    9,873.61x = 82,410,481.22
  5. Step 5: Solve for x
    x = 82,410,481.22/9,873.61
  6. Step 6: Final answer
    x = 8,346.54

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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.