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Finding the Fourth Proportional to 6,500.48, 9,756.19 and 6,090.42

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Solution

The fourth proportional to 6,500.48, 9,756.19 and 6,090.42 is: 9,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.48 : 9,756.19 = 6,090.42 : x
  2. Step 2: Convert to fraction form
    6,500.48/9,756.19 = 6,090.42/x
  3. Step 3: Cross multiply
    6,500.48x = 9,756.19 × 6,090.42
  4. Step 4: Simplify right side
    6,500.48x = 59,419,215.47
  5. Step 5: Solve for x
    x = 59,419,215.47/6,500.48
  6. Step 6: Final answer
    x = 9,140.74

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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.