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Finding the Fourth Proportional to 6,510.34, 9,764.58 and 2,349.78

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Solution

The fourth proportional to 6,510.34, 9,764.58 and 2,349.78 is: 3,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.34 : 9,764.58 = 2,349.78 : x
  2. Step 2: Convert to fraction form
    6,510.34/9,764.58 = 2,349.78/x
  3. Step 3: Cross multiply
    6,510.34x = 9,764.58 × 2,349.78
  4. Step 4: Simplify right side
    6,510.34x = 22,944,614.79
  5. Step 5: Solve for x
    x = 22,944,614.79/6,510.34
  6. Step 6: Final answer
    x = 3,524.33

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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.