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Finding the Fourth Proportional to 12,078.40, 16,875.20 and 12,078.40

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Solution

The fourth proportional to 12,078.40, 16,875.20 and 12,078.40 is: 16,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.40 : 16,875.20 = 12,078.40 : x
  2. Step 2: Convert to fraction form
    12,078.40/16,875.20 = 12,078.40/x
  3. Step 3: Cross multiply
    12,078.40x = 16,875.20 × 12,078.40
  4. Step 4: Simplify right side
    12,078.40x = 203,825,415.68
  5. Step 5: Solve for x
    x = 203,825,415.68/12,078.40
  6. Step 6: Final answer
    x = 16,875.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.