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Finding the Fourth Proportional to 23,200.32, 34,802.94 and 7,406.64

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Solution

The fourth proportional to 23,200.32, 34,802.94 and 7,406.64 is: 11,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.32 : 34,802.94 = 7,406.64 : x
  2. Step 2: Convert to fraction form
    23,200.32/34,802.94 = 7,406.64/x
  3. Step 3: Cross multiply
    23,200.32x = 34,802.94 × 7,406.64
  4. Step 4: Simplify right side
    23,200.32x = 257,772,847.52
  5. Step 5: Solve for x
    x = 257,772,847.52/23,200.32
  6. Step 6: Final answer
    x = 11,110.75

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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.