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Finding the Fourth Proportional to 12,894.40, 19,298.40 and 9,006.40

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Solution

The fourth proportional to 12,894.40, 19,298.40 and 9,006.40 is: 13,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.40 : 19,298.40 = 9,006.40 : x
  2. Step 2: Convert to fraction form
    12,894.40/19,298.40 = 9,006.40/x
  3. Step 3: Cross multiply
    12,894.40x = 19,298.40 × 9,006.40
  4. Step 4: Simplify right side
    12,894.40x = 173,809,109.76
  5. Step 5: Solve for x
    x = 173,809,109.76/12,894.40
  6. Step 6: Final answer
    x = 13,479.43

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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.