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Finding the Fourth Proportional to 13,297.96, 19,957.74 and 12,773.08

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Solution

The fourth proportional to 13,297.96, 19,957.74 and 12,773.08 is: 19,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.96 : 19,957.74 = 12,773.08 : x
  2. Step 2: Convert to fraction form
    13,297.96/19,957.74 = 12,773.08/x
  3. Step 3: Cross multiply
    13,297.96x = 19,957.74 × 12,773.08
  4. Step 4: Simplify right side
    13,297.96x = 254,921,809.64
  5. Step 5: Solve for x
    x = 254,921,809.64/13,297.96
  6. Step 6: Final answer
    x = 19,169.99

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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.