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Finding the Fourth Proportional to 11,582.57, 17,374.64 and 5,737.61

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Solution

The fourth proportional to 11,582.57, 17,374.64 and 5,737.61 is: 8,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.57 : 17,374.64 = 5,737.61 : x
  2. Step 2: Convert to fraction form
    11,582.57/17,374.64 = 5,737.61/x
  3. Step 3: Cross multiply
    11,582.57x = 17,374.64 × 5,737.61
  4. Step 4: Simplify right side
    11,582.57x = 99,688,792.65
  5. Step 5: Solve for x
    x = 99,688,792.65/11,582.57
  6. Step 6: Final answer
    x = 8,606.80

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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.