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Finding the Fourth Proportional to 4,967.70, 7,449.71 and 1,456.80

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Solution

The fourth proportional to 4,967.70, 7,449.71 and 1,456.80 is: 2,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.70 : 7,449.71 = 1,456.80 : x
  2. Step 2: Convert to fraction form
    4,967.70/7,449.71 = 1,456.80/x
  3. Step 3: Cross multiply
    4,967.70x = 7,449.71 × 1,456.80
  4. Step 4: Simplify right side
    4,967.70x = 10,852,730.24
  5. Step 5: Solve for x
    x = 10,852,730.24/4,967.70
  6. Step 6: Final answer
    x = 2,184.66

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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.