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Finding the Fourth Proportional to 5,643.97, 7,783.94 and 4,230.97

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Solution

The fourth proportional to 5,643.97, 7,783.94 and 4,230.97 is: 5,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.97 : 7,783.94 = 4,230.97 : x
  2. Step 2: Convert to fraction form
    5,643.97/7,783.94 = 4,230.97/x
  3. Step 3: Cross multiply
    5,643.97x = 7,783.94 × 4,230.97
  4. Step 4: Simplify right side
    5,643.97x = 32,933,607.74
  5. Step 5: Solve for x
    x = 32,933,607.74/5,643.97
  6. Step 6: Final answer
    x = 5,835.19

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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.