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Finding the Fourth Proportional to 7,674.74, 11,456.07 and 6,586.10

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Solution

The fourth proportional to 7,674.74, 11,456.07 and 6,586.10 is: 9,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.74 : 11,456.07 = 6,586.10 : x
  2. Step 2: Convert to fraction form
    7,674.74/11,456.07 = 6,586.10/x
  3. Step 3: Cross multiply
    7,674.74x = 11,456.07 × 6,586.10
  4. Step 4: Simplify right side
    7,674.74x = 75,450,765.35
  5. Step 5: Solve for x
    x = 75,450,765.35/7,674.74
  6. Step 6: Final answer
    x = 9,831.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.