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Finding the Fourth Proportional to 12,703.40, 19,076.70 and 9,420.20

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Solution

The fourth proportional to 12,703.40, 19,076.70 and 9,420.20 is: 14,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.40 : 19,076.70 = 9,420.20 : x
  2. Step 2: Convert to fraction form
    12,703.40/19,076.70 = 9,420.20/x
  3. Step 3: Cross multiply
    12,703.40x = 19,076.70 × 9,420.20
  4. Step 4: Simplify right side
    12,703.40x = 179,706,329.34
  5. Step 5: Solve for x
    x = 179,706,329.34/12,703.40
  6. Step 6: Final answer
    x = 14,146.32

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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.