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Finding the Fourth Proportional to 5,242.05, 7,233.71 and 4,824.09

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Solution

The fourth proportional to 5,242.05, 7,233.71 and 4,824.09 is: 6,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.05 : 7,233.71 = 4,824.09 : x
  2. Step 2: Convert to fraction form
    5,242.05/7,233.71 = 4,824.09/x
  3. Step 3: Cross multiply
    5,242.05x = 7,233.71 × 4,824.09
  4. Step 4: Simplify right side
    5,242.05x = 34,896,043.95
  5. Step 5: Solve for x
    x = 34,896,043.95/5,242.05
  6. Step 6: Final answer
    x = 6,656.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.