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Finding the Fourth Proportional to 9,773.84, 14,649.48 and 4,221.59

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Solution

The fourth proportional to 9,773.84, 14,649.48 and 4,221.59 is: 6,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.84 : 14,649.48 = 4,221.59 : x
  2. Step 2: Convert to fraction form
    9,773.84/14,649.48 = 4,221.59/x
  3. Step 3: Cross multiply
    9,773.84x = 14,649.48 × 4,221.59
  4. Step 4: Simplify right side
    9,773.84x = 61,844,160.50
  5. Step 5: Solve for x
    x = 61,844,160.50/9,773.84
  6. Step 6: Final answer
    x = 6,327.52

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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.