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Finding the Fourth Proportional to 7,768.47, 11,594.01 and 7,241.77

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Solution

The fourth proportional to 7,768.47, 11,594.01 and 7,241.77 is: 10,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.47 : 11,594.01 = 7,241.77 : x
  2. Step 2: Convert to fraction form
    7,768.47/11,594.01 = 7,241.77/x
  3. Step 3: Cross multiply
    7,768.47x = 11,594.01 × 7,241.77
  4. Step 4: Simplify right side
    7,768.47x = 83,961,095.83
  5. Step 5: Solve for x
    x = 83,961,095.83/7,768.47
  6. Step 6: Final answer
    x = 10,807.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.