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Finding the Fourth Proportional to 7,708.82, 10,627.05 and 5,051.62

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Solution

The fourth proportional to 7,708.82, 10,627.05 and 5,051.62 is: 6,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.82 : 10,627.05 = 5,051.62 : x
  2. Step 2: Convert to fraction form
    7,708.82/10,627.05 = 5,051.62/x
  3. Step 3: Cross multiply
    7,708.82x = 10,627.05 × 5,051.62
  4. Step 4: Simplify right side
    7,708.82x = 53,683,762.36
  5. Step 5: Solve for x
    x = 53,683,762.36/7,708.82
  6. Step 6: Final answer
    x = 6,963.94

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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.