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Finding the Fourth Proportional to 10,465.20, 15,697.80 and 6,091.20

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Solution

The fourth proportional to 10,465.20, 15,697.80 and 6,091.20 is: 9,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.20 : 15,697.80 = 6,091.20 : x
  2. Step 2: Convert to fraction form
    10,465.20/15,697.80 = 6,091.20/x
  3. Step 3: Cross multiply
    10,465.20x = 15,697.80 × 6,091.20
  4. Step 4: Simplify right side
    10,465.20x = 95,618,439.36
  5. Step 5: Solve for x
    x = 95,618,439.36/10,465.20
  6. Step 6: Final answer
    x = 9,136.80

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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.