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Finding the Fourth Proportional to 14,058.57, 19,400.57 and 7,770.81

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Solution

The fourth proportional to 14,058.57, 19,400.57 and 7,770.81 is: 10,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058.57 : 19,400.57 = 7,770.81 : x
  2. Step 2: Convert to fraction form
    14,058.57/19,400.57 = 7,770.81/x
  3. Step 3: Cross multiply
    14,058.57x = 19,400.57 × 7,770.81
  4. Step 4: Simplify right side
    14,058.57x = 150,758,104.51
  5. Step 5: Solve for x
    x = 150,758,104.51/14,058.57
  6. Step 6: Final answer
    x = 10,723.57

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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.