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Finding the Fourth Proportional to 7,474.72, 10,313.04 and 4,822.24

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Solution

The fourth proportional to 7,474.72, 10,313.04 and 4,822.24 is: 6,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.72 : 10,313.04 = 4,822.24 : x
  2. Step 2: Convert to fraction form
    7,474.72/10,313.04 = 4,822.24/x
  3. Step 3: Cross multiply
    7,474.72x = 10,313.04 × 4,822.24
  4. Step 4: Simplify right side
    7,474.72x = 49,731,954.01
  5. Step 5: Solve for x
    x = 49,731,954.01/7,474.72
  6. Step 6: Final answer
    x = 6,653.35

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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.