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Finding the Fourth Proportional to 7,768.47, 10,724.54 and 6,039.93

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Solution

The fourth proportional to 7,768.47, 10,724.54 and 6,039.93 is: 8,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.47 : 10,724.54 = 6,039.93 : x
  2. Step 2: Convert to fraction form
    7,768.47/10,724.54 = 6,039.93/x
  3. Step 3: Cross multiply
    7,768.47x = 10,724.54 × 6,039.93
  4. Step 4: Simplify right side
    7,768.47x = 64,775,427.20
  5. Step 5: Solve for x
    x = 64,775,427.20/7,768.47
  6. Step 6: Final answer
    x = 8,338.25

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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.