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Finding the Fourth Proportional to 7,840.02, 10,805.76 and 7,470.93

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Solution

The fourth proportional to 7,840.02, 10,805.76 and 7,470.93 is: 10,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.02 : 10,805.76 = 7,470.93 : x
  2. Step 2: Convert to fraction form
    7,840.02/10,805.76 = 7,470.93/x
  3. Step 3: Cross multiply
    7,840.02x = 10,805.76 × 7,470.93
  4. Step 4: Simplify right side
    7,840.02x = 80,729,076.56
  5. Step 5: Solve for x
    x = 80,729,076.56/7,840.02
  6. Step 6: Final answer
    x = 10,297.05

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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.