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Finding the Fourth Proportional to 12,902.40, 19,310.40 and 9,014.40

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Solution

The fourth proportional to 12,902.40, 19,310.40 and 9,014.40 is: 13,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.40 : 19,310.40 = 9,014.40 : x
  2. Step 2: Convert to fraction form
    12,902.40/19,310.40 = 9,014.40/x
  3. Step 3: Cross multiply
    12,902.40x = 19,310.40 × 9,014.40
  4. Step 4: Simplify right side
    12,902.40x = 174,071,669.76
  5. Step 5: Solve for x
    x = 174,071,669.76/12,902.40
  6. Step 6: Final answer
    x = 13,491.42

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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.