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Finding the Fourth Proportional to 14,262.60, 19,682.34 and 7,975.02

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Solution

The fourth proportional to 14,262.60, 19,682.34 and 7,975.02 is: 11,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.60 : 19,682.34 = 7,975.02 : x
  2. Step 2: Convert to fraction form
    14,262.60/19,682.34 = 7,975.02/x
  3. Step 3: Cross multiply
    14,262.60x = 19,682.34 × 7,975.02
  4. Step 4: Simplify right side
    14,262.60x = 156,967,055.15
  5. Step 5: Solve for x
    x = 156,967,055.15/14,262.60
  6. Step 6: Final answer
    x = 11,005.50

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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.