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Finding the Fourth Proportional to 12,813.76, 17,682.96 and 7,224.72

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Solution

The fourth proportional to 12,813.76, 17,682.96 and 7,224.72 is: 9,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.76 : 17,682.96 = 7,224.72 : x
  2. Step 2: Convert to fraction form
    12,813.76/17,682.96 = 7,224.72/x
  3. Step 3: Cross multiply
    12,813.76x = 17,682.96 × 7,224.72
  4. Step 4: Simplify right side
    12,813.76x = 127,754,434.77
  5. Step 5: Solve for x
    x = 127,754,434.77/12,813.76
  6. Step 6: Final answer
    x = 9,970.10

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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.