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Finding the Fourth Proportional to 7,496.94, 10,347.13 and 4,472.25

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Solution

The fourth proportional to 7,496.94, 10,347.13 and 4,472.25 is: 6,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.94 : 10,347.13 = 4,472.25 : x
  2. Step 2: Convert to fraction form
    7,496.94/10,347.13 = 4,472.25/x
  3. Step 3: Cross multiply
    7,496.94x = 10,347.13 × 4,472.25
  4. Step 4: Simplify right side
    7,496.94x = 46,274,952.14
  5. Step 5: Solve for x
    x = 46,274,952.14/7,496.94
  6. Step 6: Final answer
    x = 6,172.51

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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.