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Finding the Fourth Proportional to 13,937.76, 19,228 and 8,345.52

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Solution

The fourth proportional to 13,937.76, 19,228 and 8,345.52 is: 11,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.76 : 19,228 = 8,345.52 : x
  2. Step 2: Convert to fraction form
    13,937.76/19,228 = 8,345.52/x
  3. Step 3: Cross multiply
    13,937.76x = 19,228 × 8,345.52
  4. Step 4: Simplify right side
    13,937.76x = 160,467,658.56
  5. Step 5: Solve for x
    x = 160,467,658.56/13,937.76
  6. Step 6: Final answer
    x = 11,513.16

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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.