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Finding the Fourth Proportional to 14,038.97, 19,373.62 and 7,665.54

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Solution

The fourth proportional to 14,038.97, 19,373.62 and 7,665.54 is: 10,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.97 : 19,373.62 = 7,665.54 : x
  2. Step 2: Convert to fraction form
    14,038.97/19,373.62 = 7,665.54/x
  3. Step 3: Cross multiply
    14,038.97x = 19,373.62 × 7,665.54
  4. Step 4: Simplify right side
    14,038.97x = 148,509,195.99
  5. Step 5: Solve for x
    x = 148,509,195.99/14,038.97
  6. Step 6: Final answer
    x = 10,578.36

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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.