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Finding the Fourth Proportional to 5,232.14, 7,838.18 and 5,056.26

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Solution

The fourth proportional to 5,232.14, 7,838.18 and 5,056.26 is: 7,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.14 : 7,838.18 = 5,056.26 : x
  2. Step 2: Convert to fraction form
    5,232.14/7,838.18 = 5,056.26/x
  3. Step 3: Cross multiply
    5,232.14x = 7,838.18 × 5,056.26
  4. Step 4: Simplify right side
    5,232.14x = 39,631,892.76
  5. Step 5: Solve for x
    x = 39,631,892.76/5,232.14
  6. Step 6: Final answer
    x = 7,574.71

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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.