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Finding the Fourth Proportional to 6,491.71, 9,722.97 and 4,552.57

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Solution

The fourth proportional to 6,491.71, 9,722.97 and 4,552.57 is: 6,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.71 : 9,722.97 = 4,552.57 : x
  2. Step 2: Convert to fraction form
    6,491.71/9,722.97 = 4,552.57/x
  3. Step 3: Cross multiply
    6,491.71x = 9,722.97 × 4,552.57
  4. Step 4: Simplify right side
    6,491.71x = 44,264,501.53
  5. Step 5: Solve for x
    x = 44,264,501.53/6,491.71
  6. Step 6: Final answer
    x = 6,818.62

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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.