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Finding the Fourth Proportional to 9,975.64, 13,765.80 and 5,498.50

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Solution

The fourth proportional to 9,975.64, 13,765.80 and 5,498.50 is: 7,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.64 : 13,765.80 = 5,498.50 : x
  2. Step 2: Convert to fraction form
    9,975.64/13,765.80 = 5,498.50/x
  3. Step 3: Cross multiply
    9,975.64x = 13,765.80 × 5,498.50
  4. Step 4: Simplify right side
    9,975.64x = 75,691,251.30
  5. Step 5: Solve for x
    x = 75,691,251.30/9,975.64
  6. Step 6: Final answer
    x = 7,587.61

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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.