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Finding the Fourth Proportional to 7,649.56, 10,553.98 and 4,506.84

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Solution

The fourth proportional to 7,649.56, 10,553.98 and 4,506.84 is: 6,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.56 : 10,553.98 = 4,506.84 : x
  2. Step 2: Convert to fraction form
    7,649.56/10,553.98 = 4,506.84/x
  3. Step 3: Cross multiply
    7,649.56x = 10,553.98 × 4,506.84
  4. Step 4: Simplify right side
    7,649.56x = 47,565,099.22
  5. Step 5: Solve for x
    x = 47,565,099.22/7,649.56
  6. Step 6: Final answer
    x = 6,218.02

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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.