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Finding the Fourth Proportional to 14,187, 19,578.42 and 7,899.24

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Solution

The fourth proportional to 14,187, 19,578.42 and 7,899.24 is: 10,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187 : 19,578.42 = 7,899.24 : x
  2. Step 2: Convert to fraction form
    14,187/19,578.42 = 7,899.24/x
  3. Step 3: Cross multiply
    14,187x = 19,578.42 × 7,899.24
  4. Step 4: Simplify right side
    14,187x = 154,654,638.40
  5. Step 5: Solve for x
    x = 154,654,638.40/14,187
  6. Step 6: Final answer
    x = 10,901.15

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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.