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Finding the Fourth Proportional to 7,230.24, 9,977.76 and 4,574.88

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Solution

The fourth proportional to 7,230.24, 9,977.76 and 4,574.88 is: 6,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.24 : 9,977.76 = 4,574.88 : x
  2. Step 2: Convert to fraction form
    7,230.24/9,977.76 = 4,574.88/x
  3. Step 3: Cross multiply
    7,230.24x = 9,977.76 × 4,574.88
  4. Step 4: Simplify right side
    7,230.24x = 45,647,054.67
  5. Step 5: Solve for x
    x = 45,647,054.67/7,230.24
  6. Step 6: Final answer
    x = 6,313.35

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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.