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Finding the Fourth Proportional to 7,227.76, 9,976 and 4,705.52

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Solution

The fourth proportional to 7,227.76, 9,976 and 4,705.52 is: 6,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.76 : 9,976 = 4,705.52 : x
  2. Step 2: Convert to fraction form
    7,227.76/9,976 = 4,705.52/x
  3. Step 3: Cross multiply
    7,227.76x = 9,976 × 4,705.52
  4. Step 4: Simplify right side
    7,227.76x = 46,942,267.52
  5. Step 5: Solve for x
    x = 46,942,267.52/7,227.76
  6. Step 6: Final answer
    x = 6,494.72

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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.