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Finding the Fourth Proportional to 7,588.53, 11,382.80 and 2,394.81

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Solution

The fourth proportional to 7,588.53, 11,382.80 and 2,394.81 is: 3,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.53 : 11,382.80 = 2,394.81 : x
  2. Step 2: Convert to fraction form
    7,588.53/11,382.80 = 2,394.81/x
  3. Step 3: Cross multiply
    7,588.53x = 11,382.80 × 2,394.81
  4. Step 4: Simplify right side
    7,588.53x = 27,259,643.27
  5. Step 5: Solve for x
    x = 27,259,643.27/7,588.53
  6. Step 6: Final answer
    x = 3,592.22

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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.