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Finding the Fourth Proportional to 12,207.60, 18,311.40 and 2,973.60

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Solution

The fourth proportional to 12,207.60, 18,311.40 and 2,973.60 is: 4,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.60 : 18,311.40 = 2,973.60 : x
  2. Step 2: Convert to fraction form
    12,207.60/18,311.40 = 2,973.60/x
  3. Step 3: Cross multiply
    12,207.60x = 18,311.40 × 2,973.60
  4. Step 4: Simplify right side
    12,207.60x = 54,450,779.04
  5. Step 5: Solve for x
    x = 54,450,779.04/12,207.60
  6. Step 6: Final answer
    x = 4,460.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.