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Finding the Fourth Proportional to 6,144.97, 8,477.65 and 3,783.01

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Solution

The fourth proportional to 6,144.97, 8,477.65 and 3,783.01 is: 5,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.97 : 8,477.65 = 3,783.01 : x
  2. Step 2: Convert to fraction form
    6,144.97/8,477.65 = 3,783.01/x
  3. Step 3: Cross multiply
    6,144.97x = 8,477.65 × 3,783.01
  4. Step 4: Simplify right side
    6,144.97x = 32,071,034.73
  5. Step 5: Solve for x
    x = 32,071,034.73/6,144.97
  6. Step 6: Final answer
    x = 5,219.07

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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.