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Finding the Fourth Proportional to 7,232.03, 9,972.29 and 4,709.49

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Solution

The fourth proportional to 7,232.03, 9,972.29 and 4,709.49 is: 6,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.03 : 9,972.29 = 4,709.49 : x
  2. Step 2: Convert to fraction form
    7,232.03/9,972.29 = 4,709.49/x
  3. Step 3: Cross multiply
    7,232.03x = 9,972.29 × 4,709.49
  4. Step 4: Simplify right side
    7,232.03x = 46,964,376.48
  5. Step 5: Solve for x
    x = 46,964,376.48/7,232.03
  6. Step 6: Final answer
    x = 6,493.95

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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.