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Finding the Fourth Proportional to 6,491.62, 9,737.43 and 4,184.74

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Solution

The fourth proportional to 6,491.62, 9,737.43 and 4,184.74 is: 6,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.62 : 9,737.43 = 4,184.74 : x
  2. Step 2: Convert to fraction form
    6,491.62/9,737.43 = 4,184.74/x
  3. Step 3: Cross multiply
    6,491.62x = 9,737.43 × 4,184.74
  4. Step 4: Simplify right side
    6,491.62x = 40,748,612.82
  5. Step 5: Solve for x
    x = 40,748,612.82/6,491.62
  6. Step 6: Final answer
    x = 6,277.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.