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Finding the Fourth Proportional to 12,967.60, 19,451.40 and 9,641.20

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Solution

The fourth proportional to 12,967.60, 19,451.40 and 9,641.20 is: 14,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.60 : 19,451.40 = 9,641.20 : x
  2. Step 2: Convert to fraction form
    12,967.60/19,451.40 = 9,641.20/x
  3. Step 3: Cross multiply
    12,967.60x = 19,451.40 × 9,641.20
  4. Step 4: Simplify right side
    12,967.60x = 187,534,837.68
  5. Step 5: Solve for x
    x = 187,534,837.68/12,967.60
  6. Step 6: Final answer
    x = 14,461.80

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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.