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Finding the Fourth Proportional to 6,499.48, 9,754.68 and 6,089.42

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Solution

The fourth proportional to 6,499.48, 9,754.68 and 6,089.42 is: 9,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.48 : 9,754.68 = 6,089.42 : x
  2. Step 2: Convert to fraction form
    6,499.48/9,754.68 = 6,089.42/x
  3. Step 3: Cross multiply
    6,499.48x = 9,754.68 × 6,089.42
  4. Step 4: Simplify right side
    6,499.48x = 59,400,313.74
  5. Step 5: Solve for x
    x = 59,400,313.74/6,499.48
  6. Step 6: Final answer
    x = 9,139.24

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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.