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Finding the Fourth Proportional to 12,695.40, 19,043.10 and 9,196.20

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Solution

The fourth proportional to 12,695.40, 19,043.10 and 9,196.20 is: 13,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.40 : 19,043.10 = 9,196.20 : x
  2. Step 2: Convert to fraction form
    12,695.40/19,043.10 = 9,196.20/x
  3. Step 3: Cross multiply
    12,695.40x = 19,043.10 × 9,196.20
  4. Step 4: Simplify right side
    12,695.40x = 175,124,156.22
  5. Step 5: Solve for x
    x = 175,124,156.22/12,695.40
  6. Step 6: Final answer
    x = 13,794.30

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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.