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Finding the Fourth Proportional to 12,855.60, 19,281.78 and 6,278.40

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Solution

The fourth proportional to 12,855.60, 19,281.78 and 6,278.40 is: 9,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.60 : 19,281.78 = 6,278.40 : x
  2. Step 2: Convert to fraction form
    12,855.60/19,281.78 = 6,278.40/x
  3. Step 3: Cross multiply
    12,855.60x = 19,281.78 × 6,278.40
  4. Step 4: Simplify right side
    12,855.60x = 121,058,727.55
  5. Step 5: Solve for x
    x = 121,058,727.55/12,855.60
  6. Step 6: Final answer
    x = 9,416.81

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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.