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Finding the Fourth Proportional to 6,507.12, 9,748.92 and 5,473.56

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Solution

The fourth proportional to 6,507.12, 9,748.92 and 5,473.56 is: 8,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.12 : 9,748.92 = 5,473.56 : x
  2. Step 2: Convert to fraction form
    6,507.12/9,748.92 = 5,473.56/x
  3. Step 3: Cross multiply
    6,507.12x = 9,748.92 × 5,473.56
  4. Step 4: Simplify right side
    6,507.12x = 53,361,298.56
  5. Step 5: Solve for x
    x = 53,361,298.56/6,507.12
  6. Step 6: Final answer
    x = 8,200.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.