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Finding the Fourth Proportional to 6,407.10, 9,600.12 and 6,164.10

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Solution

The fourth proportional to 6,407.10, 9,600.12 and 6,164.10 is: 9,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.10 : 9,600.12 = 6,164.10 : x
  2. Step 2: Convert to fraction form
    6,407.10/9,600.12 = 6,164.10/x
  3. Step 3: Cross multiply
    6,407.10x = 9,600.12 × 6,164.10
  4. Step 4: Simplify right side
    6,407.10x = 59,176,099.69
  5. Step 5: Solve for x
    x = 59,176,099.69/6,407.10
  6. Step 6: Final answer
    x = 9,236.02

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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.