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Finding the Fourth Proportional to 7,136.48, 10,677.84 and 4,949.44

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Solution

The fourth proportional to 7,136.48, 10,677.84 and 4,949.44 is: 7,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.48 : 10,677.84 = 4,949.44 : x
  2. Step 2: Convert to fraction form
    7,136.48/10,677.84 = 4,949.44/x
  3. Step 3: Cross multiply
    7,136.48x = 10,677.84 × 4,949.44
  4. Step 4: Simplify right side
    7,136.48x = 52,849,328.41
  5. Step 5: Solve for x
    x = 52,849,328.41/7,136.48
  6. Step 6: Final answer
    x = 7,405.52

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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.