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Finding the Fourth Proportional to 7,706.60, 10,629.54 and 4,913

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Solution

The fourth proportional to 7,706.60, 10,629.54 and 4,913 is: 6,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.60 : 10,629.54 = 4,913 : x
  2. Step 2: Convert to fraction form
    7,706.60/10,629.54 = 4,913/x
  3. Step 3: Cross multiply
    7,706.60x = 10,629.54 × 4,913
  4. Step 4: Simplify right side
    7,706.60x = 52,222,930.02
  5. Step 5: Solve for x
    x = 52,222,930.02/7,706.60
  6. Step 6: Final answer
    x = 6,776.39

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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.