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Finding the Fourth Proportional to 12,897.40, 19,346.10 and 12,411.40

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Solution

The fourth proportional to 12,897.40, 19,346.10 and 12,411.40 is: 18,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.40 : 19,346.10 = 12,411.40 : x
  2. Step 2: Convert to fraction form
    12,897.40/19,346.10 = 12,411.40/x
  3. Step 3: Cross multiply
    12,897.40x = 19,346.10 × 12,411.40
  4. Step 4: Simplify right side
    12,897.40x = 240,112,185.54
  5. Step 5: Solve for x
    x = 240,112,185.54/12,897.40
  6. Step 6: Final answer
    x = 18,617.10

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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.