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Finding the Fourth Proportional to 6,992.64, 10,478.16 and 3,532.32

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Solution

The fourth proportional to 6,992.64, 10,478.16 and 3,532.32 is: 5,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.64 : 10,478.16 = 3,532.32 : x
  2. Step 2: Convert to fraction form
    6,992.64/10,478.16 = 3,532.32/x
  3. Step 3: Cross multiply
    6,992.64x = 10,478.16 × 3,532.32
  4. Step 4: Simplify right side
    6,992.64x = 37,012,214.13
  5. Step 5: Solve for x
    x = 37,012,214.13/6,992.64
  6. Step 6: Final answer
    x = 5,293.02

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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.