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Finding the Fourth Proportional to 7,706.16, 10,622.16 and 5,463.36

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Solution

The fourth proportional to 7,706.16, 10,622.16 and 5,463.36 is: 7,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.16 : 10,622.16 = 5,463.36 : x
  2. Step 2: Convert to fraction form
    7,706.16/10,622.16 = 5,463.36/x
  3. Step 3: Cross multiply
    7,706.16x = 10,622.16 × 5,463.36
  4. Step 4: Simplify right side
    7,706.16x = 58,032,684.06
  5. Step 5: Solve for x
    x = 58,032,684.06/7,706.16
  6. Step 6: Final answer
    x = 7,530.69

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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.