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Finding the Fourth Proportional to 7,776.54, 10,731.30 and 4,239.54

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Solution

The fourth proportional to 7,776.54, 10,731.30 and 4,239.54 is: 5,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.54 : 10,731.30 = 4,239.54 : x
  2. Step 2: Convert to fraction form
    7,776.54/10,731.30 = 4,239.54/x
  3. Step 3: Cross multiply
    7,776.54x = 10,731.30 × 4,239.54
  4. Step 4: Simplify right side
    7,776.54x = 45,495,775.60
  5. Step 5: Solve for x
    x = 45,495,775.60/7,776.54
  6. Step 6: Final answer
    x = 5,850.39

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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.