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Finding the Fourth Proportional to 10,495.98, 14,484.06 and 5,958.02

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Solution

The fourth proportional to 10,495.98, 14,484.06 and 5,958.02 is: 8,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.98 : 14,484.06 = 5,958.02 : x
  2. Step 2: Convert to fraction form
    10,495.98/14,484.06 = 5,958.02/x
  3. Step 3: Cross multiply
    10,495.98x = 14,484.06 × 5,958.02
  4. Step 4: Simplify right side
    10,495.98x = 86,296,246.74
  5. Step 5: Solve for x
    x = 86,296,246.74/10,495.98
  6. Step 6: Final answer
    x = 8,221.84

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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.