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Finding the Fourth Proportional to 12,657.20, 19,001.40 and 7,977.20

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Solution

The fourth proportional to 12,657.20, 19,001.40 and 7,977.20 is: 11,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.20 : 19,001.40 = 7,977.20 : x
  2. Step 2: Convert to fraction form
    12,657.20/19,001.40 = 7,977.20/x
  3. Step 3: Cross multiply
    12,657.20x = 19,001.40 × 7,977.20
  4. Step 4: Simplify right side
    12,657.20x = 151,577,968.08
  5. Step 5: Solve for x
    x = 151,577,968.08/12,657.20
  6. Step 6: Final answer
    x = 11,975.63

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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.