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Finding the Fourth Proportional to 4,948.16, 7,422.63 and 1,661.24

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Solution

The fourth proportional to 4,948.16, 7,422.63 and 1,661.24 is: 2,491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.16 : 7,422.63 = 1,661.24 : x
  2. Step 2: Convert to fraction form
    4,948.16/7,422.63 = 1,661.24/x
  3. Step 3: Cross multiply
    4,948.16x = 7,422.63 × 1,661.24
  4. Step 4: Simplify right side
    4,948.16x = 12,330,769.86
  5. Step 5: Solve for x
    x = 12,330,769.86/4,948.16
  6. Step 6: Final answer
    x = 2,491.99

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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.