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Finding the Fourth Proportional to 7,491.65, 10,342.23 and 4,659.95

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Solution

The fourth proportional to 7,491.65, 10,342.23 and 4,659.95 is: 6,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.65 : 10,342.23 = 4,659.95 : x
  2. Step 2: Convert to fraction form
    7,491.65/10,342.23 = 4,659.95/x
  3. Step 3: Cross multiply
    7,491.65x = 10,342.23 × 4,659.95
  4. Step 4: Simplify right side
    7,491.65x = 48,194,222.98
  5. Step 5: Solve for x
    x = 48,194,222.98/7,491.65
  6. Step 6: Final answer
    x = 6,433.06

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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.