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Finding the Fourth Proportional to 12,779.82, 17,635.41 and 7,114.14

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Solution

The fourth proportional to 12,779.82, 17,635.41 and 7,114.14 is: 9,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.82 : 17,635.41 = 7,114.14 : x
  2. Step 2: Convert to fraction form
    12,779.82/17,635.41 = 7,114.14/x
  3. Step 3: Cross multiply
    12,779.82x = 17,635.41 × 7,114.14
  4. Step 4: Simplify right side
    12,779.82x = 125,460,775.70
  5. Step 5: Solve for x
    x = 125,460,775.70/12,779.82
  6. Step 6: Final answer
    x = 9,817.10

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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.