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Finding the Fourth Proportional to 6,586.80, 9,081.72 and 5,653.68

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Solution

The fourth proportional to 6,586.80, 9,081.72 and 5,653.68 is: 7,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.80 : 9,081.72 = 5,653.68 : x
  2. Step 2: Convert to fraction form
    6,586.80/9,081.72 = 5,653.68/x
  3. Step 3: Cross multiply
    6,586.80x = 9,081.72 × 5,653.68
  4. Step 4: Simplify right side
    6,586.80x = 51,345,138.73
  5. Step 5: Solve for x
    x = 51,345,138.73/6,586.80
  6. Step 6: Final answer
    x = 7,795.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.