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Finding the Fourth Proportional to 14,117.41, 19,481.48 and 7,829.65

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Solution

The fourth proportional to 14,117.41, 19,481.48 and 7,829.65 is: 10,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.41 : 19,481.48 = 7,829.65 : x
  2. Step 2: Convert to fraction form
    14,117.41/19,481.48 = 7,829.65/x
  3. Step 3: Cross multiply
    14,117.41x = 19,481.48 × 7,829.65
  4. Step 4: Simplify right side
    14,117.41x = 152,533,130.73
  5. Step 5: Solve for x
    x = 152,533,130.73/14,117.41
  6. Step 6: Final answer
    x = 10,804.61

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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.