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Finding the Fourth Proportional to 12,689.40, 19,055.70 and 9,406.20

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Solution

The fourth proportional to 12,689.40, 19,055.70 and 9,406.20 is: 14,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.40 : 19,055.70 = 9,406.20 : x
  2. Step 2: Convert to fraction form
    12,689.40/19,055.70 = 9,406.20/x
  3. Step 3: Cross multiply
    12,689.40x = 19,055.70 × 9,406.20
  4. Step 4: Simplify right side
    12,689.40x = 179,241,725.34
  5. Step 5: Solve for x
    x = 179,241,725.34/12,689.40
  6. Step 6: Final answer
    x = 14,125.31

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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.