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Finding the Fourth Proportional to 9,773.10, 14,659.29 and 4,227.84

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Solution

The fourth proportional to 9,773.10, 14,659.29 and 4,227.84 is: 6,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.10 : 14,659.29 = 4,227.84 : x
  2. Step 2: Convert to fraction form
    9,773.10/14,659.29 = 4,227.84/x
  3. Step 3: Cross multiply
    9,773.10x = 14,659.29 × 4,227.84
  4. Step 4: Simplify right side
    9,773.10x = 61,977,132.63
  5. Step 5: Solve for x
    x = 61,977,132.63/9,773.10
  6. Step 6: Final answer
    x = 6,341.60

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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.