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Finding the Fourth Proportional to 4,649.76, 6,416.54 and 2,553.76

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Solution

The fourth proportional to 4,649.76, 6,416.54 and 2,553.76 is: 3,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.76 : 6,416.54 = 2,553.76 : x
  2. Step 2: Convert to fraction form
    4,649.76/6,416.54 = 2,553.76/x
  3. Step 3: Cross multiply
    4,649.76x = 6,416.54 × 2,553.76
  4. Step 4: Simplify right side
    4,649.76x = 16,386,303.19
  5. Step 5: Solve for x
    x = 16,386,303.19/4,649.76
  6. Step 6: Final answer
    x = 3,524.12

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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.