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Finding the Fourth Proportional to 7,228.29, 9,976.71 and 4,706.01

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Solution

The fourth proportional to 7,228.29, 9,976.71 and 4,706.01 is: 6,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.29 : 9,976.71 = 4,706.01 : x
  2. Step 2: Convert to fraction form
    7,228.29/9,976.71 = 4,706.01/x
  3. Step 3: Cross multiply
    7,228.29x = 9,976.71 × 4,706.01
  4. Step 4: Simplify right side
    7,228.29x = 46,950,497.03
  5. Step 5: Solve for x
    x = 46,950,497.03/7,228.29
  6. Step 6: Final answer
    x = 6,495.38

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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.