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Finding the Fourth Proportional to 4,864.61, 6,707.11 and 4,057.43

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Solution

The fourth proportional to 4,864.61, 6,707.11 and 4,057.43 is: 5,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.61 : 6,707.11 = 4,057.43 : x
  2. Step 2: Convert to fraction form
    4,864.61/6,707.11 = 4,057.43/x
  3. Step 3: Cross multiply
    4,864.61x = 6,707.11 × 4,057.43
  4. Step 4: Simplify right side
    4,864.61x = 27,213,616.02
  5. Step 5: Solve for x
    x = 27,213,616.02/4,864.61
  6. Step 6: Final answer
    x = 5,594.20

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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.