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Finding the Fourth Proportional to 12,894.40, 19,341.60 and 9,978.40

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Solution

The fourth proportional to 12,894.40, 19,341.60 and 9,978.40 is: 14,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.40 : 19,341.60 = 9,978.40 : x
  2. Step 2: Convert to fraction form
    12,894.40/19,341.60 = 9,978.40/x
  3. Step 3: Cross multiply
    12,894.40x = 19,341.60 × 9,978.40
  4. Step 4: Simplify right side
    12,894.40x = 192,998,221.44
  5. Step 5: Solve for x
    x = 192,998,221.44/12,894.40
  6. Step 6: Final answer
    x = 14,967.60

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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.