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Finding the Fourth Proportional to 12,096.98, 16,691.90 and 7,060.40

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Solution

The fourth proportional to 12,096.98, 16,691.90 and 7,060.40 is: 9,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.98 : 16,691.90 = 7,060.40 : x
  2. Step 2: Convert to fraction form
    12,096.98/16,691.90 = 7,060.40/x
  3. Step 3: Cross multiply
    12,096.98x = 16,691.90 × 7,060.40
  4. Step 4: Simplify right side
    12,096.98x = 117,851,490.76
  5. Step 5: Solve for x
    x = 117,851,490.76/12,096.98
  6. Step 6: Final answer
    x = 9,742.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.