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Finding the Fourth Proportional to 6,473.84, 8,933.28 and 3,641

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Solution

The fourth proportional to 6,473.84, 8,933.28 and 3,641 is: 5,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.84 : 8,933.28 = 3,641 : x
  2. Step 2: Convert to fraction form
    6,473.84/8,933.28 = 3,641/x
  3. Step 3: Cross multiply
    6,473.84x = 8,933.28 × 3,641
  4. Step 4: Simplify right side
    6,473.84x = 32,526,072.48
  5. Step 5: Solve for x
    x = 32,526,072.48/6,473.84
  6. Step 6: Final answer
    x = 5,024.23

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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.