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Finding the Fourth Proportional to 14,073.96, 19,421.26 and 7,785.96

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Solution

The fourth proportional to 14,073.96, 19,421.26 and 7,785.96 is: 10,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.96 : 19,421.26 = 7,785.96 : x
  2. Step 2: Convert to fraction form
    14,073.96/19,421.26 = 7,785.96/x
  3. Step 3: Cross multiply
    14,073.96x = 19,421.26 × 7,785.96
  4. Step 4: Simplify right side
    14,073.96x = 151,213,153.51
  5. Step 5: Solve for x
    x = 151,213,153.51/14,073.96
  6. Step 6: Final answer
    x = 10,744.18

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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.