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Finding the Fourth Proportional to 8,462.40, 12,693.60 and 5,697.60

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Solution

The fourth proportional to 8,462.40, 12,693.60 and 5,697.60 is: 8,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.40 : 12,693.60 = 5,697.60 : x
  2. Step 2: Convert to fraction form
    8,462.40/12,693.60 = 5,697.60/x
  3. Step 3: Cross multiply
    8,462.40x = 12,693.60 × 5,697.60
  4. Step 4: Simplify right side
    8,462.40x = 72,323,055.36
  5. Step 5: Solve for x
    x = 72,323,055.36/8,462.40
  6. Step 6: Final answer
    x = 8,546.40

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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.