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Finding the Fourth Proportional to 6,729.42, 10,097.04 and 6,156.30

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Solution

The fourth proportional to 6,729.42, 10,097.04 and 6,156.30 is: 9,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.42 : 10,097.04 = 6,156.30 : x
  2. Step 2: Convert to fraction form
    6,729.42/10,097.04 = 6,156.30/x
  3. Step 3: Cross multiply
    6,729.42x = 10,097.04 × 6,156.30
  4. Step 4: Simplify right side
    6,729.42x = 62,160,407.35
  5. Step 5: Solve for x
    x = 62,160,407.35/6,729.42
  6. Step 6: Final answer
    x = 9,237.11

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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.