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Finding the Fourth Proportional to 6,580.39, 9,823.74 and 6,349.73

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Solution

The fourth proportional to 6,580.39, 9,823.74 and 6,349.73 is: 9,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.39 : 9,823.74 = 6,349.73 : x
  2. Step 2: Convert to fraction form
    6,580.39/9,823.74 = 6,349.73/x
  3. Step 3: Cross multiply
    6,580.39x = 9,823.74 × 6,349.73
  4. Step 4: Simplify right side
    6,580.39x = 62,378,064.84
  5. Step 5: Solve for x
    x = 62,378,064.84/6,580.39
  6. Step 6: Final answer
    x = 9,479.39

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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.