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Finding the Fourth Proportional to 12,254.32, 18,351.87 and 6,973.34

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Solution

The fourth proportional to 12,254.32, 18,351.87 and 6,973.34 is: 10,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.32 : 18,351.87 = 6,973.34 : x
  2. Step 2: Convert to fraction form
    12,254.32/18,351.87 = 6,973.34/x
  3. Step 3: Cross multiply
    12,254.32x = 18,351.87 × 6,973.34
  4. Step 4: Simplify right side
    12,254.32x = 127,973,711.24
  5. Step 5: Solve for x
    x = 127,973,711.24/12,254.32
  6. Step 6: Final answer
    x = 10,443.15

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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.