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Finding the Fourth Proportional to 14,351.14, 19,804.19 and 7,977.57

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Solution

The fourth proportional to 14,351.14, 19,804.19 and 7,977.57 is: 11,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.14 : 19,804.19 = 7,977.57 : x
  2. Step 2: Convert to fraction form
    14,351.14/19,804.19 = 7,977.57/x
  3. Step 3: Cross multiply
    14,351.14x = 19,804.19 × 7,977.57
  4. Step 4: Simplify right side
    14,351.14x = 157,989,312.02
  5. Step 5: Solve for x
    x = 157,989,312.02/14,351.14
  6. Step 6: Final answer
    x = 11,008.83

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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.