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Finding the Fourth Proportional to 6,586.46, 9,870.81 and 6,166.07

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Solution

The fourth proportional to 6,586.46, 9,870.81 and 6,166.07 is: 9,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.46 : 9,870.81 = 6,166.07 : x
  2. Step 2: Convert to fraction form
    6,586.46/9,870.81 = 6,166.07/x
  3. Step 3: Cross multiply
    6,586.46x = 9,870.81 × 6,166.07
  4. Step 4: Simplify right side
    6,586.46x = 60,864,160.16
  5. Step 5: Solve for x
    x = 60,864,160.16/6,586.46
  6. Step 6: Final answer
    x = 9,240.79

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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.