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Finding the Fourth Proportional to 14,257.16, 19,674.54 and 7,883.58

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Solution

The fourth proportional to 14,257.16, 19,674.54 and 7,883.58 is: 10,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.16 : 19,674.54 = 7,883.58 : x
  2. Step 2: Convert to fraction form
    14,257.16/19,674.54 = 7,883.58/x
  3. Step 3: Cross multiply
    14,257.16x = 19,674.54 × 7,883.58
  4. Step 4: Simplify right side
    14,257.16x = 155,105,810.05
  5. Step 5: Solve for x
    x = 155,105,810.05/14,257.16
  6. Step 6: Final answer
    x = 10,879.16

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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.