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Finding the Fourth Proportional to 6,562.45, 9,792.86 and 6,349.42

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Solution

The fourth proportional to 6,562.45, 9,792.86 and 6,349.42 is: 9,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.45 : 9,792.86 = 6,349.42 : x
  2. Step 2: Convert to fraction form
    6,562.45/9,792.86 = 6,349.42/x
  3. Step 3: Cross multiply
    6,562.45x = 9,792.86 × 6,349.42
  4. Step 4: Simplify right side
    6,562.45x = 62,178,981.14
  5. Step 5: Solve for x
    x = 62,178,981.14/6,562.45
  6. Step 6: Final answer
    x = 9,474.96

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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.