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Finding the Fourth Proportional to 7,583, 11,374.91 and 2,389.28

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Solution

The fourth proportional to 7,583, 11,374.91 and 2,389.28 is: 3,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583 : 11,374.91 = 2,389.28 : x
  2. Step 2: Convert to fraction form
    7,583/11,374.91 = 2,389.28/x
  3. Step 3: Cross multiply
    7,583x = 11,374.91 × 2,389.28
  4. Step 4: Simplify right side
    7,583x = 27,177,833.02
  5. Step 5: Solve for x
    x = 27,177,833.02/7,583
  6. Step 6: Final answer
    x = 3,584.05

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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.