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Finding the Fourth Proportional to 6,094.04, 8,411.34 and 3,443

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Solution

The fourth proportional to 6,094.04, 8,411.34 and 3,443 is: 4,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.04 : 8,411.34 = 3,443 : x
  2. Step 2: Convert to fraction form
    6,094.04/8,411.34 = 3,443/x
  3. Step 3: Cross multiply
    6,094.04x = 8,411.34 × 3,443
  4. Step 4: Simplify right side
    6,094.04x = 28,960,243.62
  5. Step 5: Solve for x
    x = 28,960,243.62/6,094.04
  6. Step 6: Final answer
    x = 4,752.22

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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.