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Finding the Fourth Proportional to 12,916.18, 17,823.54 and 7,249.96

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Solution

The fourth proportional to 12,916.18, 17,823.54 and 7,249.96 is: 10,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.18 : 17,823.54 = 7,249.96 : x
  2. Step 2: Convert to fraction form
    12,916.18/17,823.54 = 7,249.96/x
  3. Step 3: Cross multiply
    12,916.18x = 17,823.54 × 7,249.96
  4. Step 4: Simplify right side
    12,916.18x = 129,219,952.06
  5. Step 5: Solve for x
    x = 129,219,952.06/12,916.18
  6. Step 6: Final answer
    x = 10,004.50

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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.