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Finding the Fourth Proportional to 7,851.95, 11,777.93 and 4,932.30

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Solution

The fourth proportional to 7,851.95, 11,777.93 and 4,932.30 is: 7,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.95 : 11,777.93 = 4,932.30 : x
  2. Step 2: Convert to fraction form
    7,851.95/11,777.93 = 4,932.30/x
  3. Step 3: Cross multiply
    7,851.95x = 11,777.93 × 4,932.30
  4. Step 4: Simplify right side
    7,851.95x = 58,092,284.14
  5. Step 5: Solve for x
    x = 58,092,284.14/7,851.95
  6. Step 6: Final answer
    x = 7,398.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.